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Finding the Fourth Proportional to 14,897.70, 22,359.15 and 6,138.90

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Solution

The fourth proportional to 14,897.70, 22,359.15 and 6,138.90 is: 9,213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.70 : 22,359.15 = 6,138.90 : x
  2. Step 2: Convert to fraction form
    14,897.70/22,359.15 = 6,138.90/x
  3. Step 3: Cross multiply
    14,897.70x = 22,359.15 × 6,138.90
  4. Step 4: Simplify right side
    14,897.70x = 137,260,585.94
  5. Step 5: Solve for x
    x = 137,260,585.94/14,897.70
  6. Step 6: Final answer
    x = 9,213.54

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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.