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Finding the Fourth Proportional to 14,770, 22,142.58 and 6,011.20

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Solution

The fourth proportional to 14,770, 22,142.58 and 6,011.20 is: 9,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,770 : 22,142.58 = 6,011.20 : x
  2. Step 2: Convert to fraction form
    14,770/22,142.58 = 6,011.20/x
  3. Step 3: Cross multiply
    14,770x = 22,142.58 × 6,011.20
  4. Step 4: Simplify right side
    14,770x = 133,103,476.90
  5. Step 5: Solve for x
    x = 133,103,476.90/14,770
  6. Step 6: Final answer
    x = 9,011.75

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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.