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Finding the Fourth Proportional to 16,085.70, 24,128.55 and 9,864.90

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Solution

The fourth proportional to 16,085.70, 24,128.55 and 9,864.90 is: 14,797.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085.70 : 24,128.55 = 9,864.90 : x
  2. Step 2: Convert to fraction form
    16,085.70/24,128.55 = 9,864.90/x
  3. Step 3: Cross multiply
    16,085.70x = 24,128.55 × 9,864.90
  4. Step 4: Simplify right side
    16,085.70x = 238,025,732.90
  5. Step 5: Solve for x
    x = 238,025,732.90/16,085.70
  6. Step 6: Final answer
    x = 14,797.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.