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Finding the Fourth Proportional to 24,309.57, 33,547.29 and 13,699.38

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Solution

The fourth proportional to 24,309.57, 33,547.29 and 13,699.38 is: 18,905.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,309.57 : 33,547.29 = 13,699.38 : x
  2. Step 2: Convert to fraction form
    24,309.57/33,547.29 = 13,699.38/x
  3. Step 3: Cross multiply
    24,309.57x = 33,547.29 × 13,699.38
  4. Step 4: Simplify right side
    24,309.57x = 459,577,073.68
  5. Step 5: Solve for x
    x = 459,577,073.68/24,309.57
  6. Step 6: Final answer
    x = 18,905.19

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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.