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Finding the Fourth Proportional to 17,842.88, 24,643.86 and 11,864.20

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Solution

The fourth proportional to 17,842.88, 24,643.86 and 11,864.20 is: 16,386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.88 : 24,643.86 = 11,864.20 : x
  2. Step 2: Convert to fraction form
    17,842.88/24,643.86 = 11,864.20/x
  3. Step 3: Cross multiply
    17,842.88x = 24,643.86 × 11,864.20
  4. Step 4: Simplify right side
    17,842.88x = 292,379,683.81
  5. Step 5: Solve for x
    x = 292,379,683.81/17,842.88
  6. Step 6: Final answer
    x = 16,386.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.