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Finding the Fourth Proportional to 17,494.66, 24,143.08 and 10,784.72

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Solution

The fourth proportional to 17,494.66, 24,143.08 and 10,784.72 is: 14,883.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,494.66 : 24,143.08 = 10,784.72 : x
  2. Step 2: Convert to fraction form
    17,494.66/24,143.08 = 10,784.72/x
  3. Step 3: Cross multiply
    17,494.66x = 24,143.08 × 10,784.72
  4. Step 4: Simplify right side
    17,494.66x = 260,376,357.74
  5. Step 5: Solve for x
    x = 260,376,357.74/17,494.66
  6. Step 6: Final answer
    x = 14,883.19

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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.