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Finding the Fourth Proportional to 10,233.12, 15,269.86 and 9,129.90

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Solution

The fourth proportional to 10,233.12, 15,269.86 and 9,129.90 is: 13,623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233.12 : 15,269.86 = 9,129.90 : x
  2. Step 2: Convert to fraction form
    10,233.12/15,269.86 = 9,129.90/x
  3. Step 3: Cross multiply
    10,233.12x = 15,269.86 × 9,129.90
  4. Step 4: Simplify right side
    10,233.12x = 139,412,294.81
  5. Step 5: Solve for x
    x = 139,412,294.81/10,233.12
  6. Step 6: Final answer
    x = 13,623.64

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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.