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Finding the Fourth Proportional to 10,613.50, 15,808.14 and 10,058.38

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Solution

The fourth proportional to 10,613.50, 15,808.14 and 10,058.38 is: 14,981.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.50 : 15,808.14 = 10,058.38 : x
  2. Step 2: Convert to fraction form
    10,613.50/15,808.14 = 10,058.38/x
  3. Step 3: Cross multiply
    10,613.50x = 15,808.14 × 10,058.38
  4. Step 4: Simplify right side
    10,613.50x = 159,004,228.92
  5. Step 5: Solve for x
    x = 159,004,228.92/10,613.50
  6. Step 6: Final answer
    x = 14,981.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.