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Finding the Fourth Proportional to 24,887, 34,344.06 and 13,709

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Solution

The fourth proportional to 24,887, 34,344.06 and 13,709 is: 18,918.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,887 : 34,344.06 = 13,709 : x
  2. Step 2: Convert to fraction form
    24,887/34,344.06 = 13,709/x
  3. Step 3: Cross multiply
    24,887x = 34,344.06 × 13,709
  4. Step 4: Simplify right side
    24,887x = 470,822,718.54
  5. Step 5: Solve for x
    x = 470,822,718.54/24,887
  6. Step 6: Final answer
    x = 18,918.42

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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.