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Finding the Fourth Proportional to 18,501, 25,531.38 and 10,117.50

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Solution

The fourth proportional to 18,501, 25,531.38 and 10,117.50 is: 13,962.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,501 : 25,531.38 = 10,117.50 : x
  2. Step 2: Convert to fraction form
    18,501/25,531.38 = 10,117.50/x
  3. Step 3: Cross multiply
    18,501x = 25,531.38 × 10,117.50
  4. Step 4: Simplify right side
    18,501x = 258,313,737.15
  5. Step 5: Solve for x
    x = 258,313,737.15/18,501
  6. Step 6: Final answer
    x = 13,962.15

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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.