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Finding the Fourth Proportional to 17,853.76, 26,746.08 and 13,741.12

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Solution

The fourth proportional to 17,853.76, 26,746.08 and 13,741.12 is: 20,585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.76 : 26,746.08 = 13,741.12 : x
  2. Step 2: Convert to fraction form
    17,853.76/26,746.08 = 13,741.12/x
  3. Step 3: Cross multiply
    17,853.76x = 26,746.08 × 13,741.12
  4. Step 4: Simplify right side
    17,853.76x = 367,521,094.81
  5. Step 5: Solve for x
    x = 367,521,094.81/17,853.76
  6. Step 6: Final answer
    x = 20,585.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.