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Finding the Fourth Proportional to 16,459.83, 22,708.98 and 9,381.24

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Solution

The fourth proportional to 16,459.83, 22,708.98 and 9,381.24 is: 12,942.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459.83 : 22,708.98 = 9,381.24 : x
  2. Step 2: Convert to fraction form
    16,459.83/22,708.98 = 9,381.24/x
  3. Step 3: Cross multiply
    16,459.83x = 22,708.98 × 9,381.24
  4. Step 4: Simplify right side
    16,459.83x = 213,038,391.54
  5. Step 5: Solve for x
    x = 213,038,391.54/16,459.83
  6. Step 6: Final answer
    x = 12,942.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.