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Finding the Fourth Proportional to 14,772.14, 22,172.78 and 6,457.90

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Solution

The fourth proportional to 14,772.14, 22,172.78 and 6,457.90 is: 9,693.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,772.14 : 22,172.78 = 6,457.90 : x
  2. Step 2: Convert to fraction form
    14,772.14/22,172.78 = 6,457.90/x
  3. Step 3: Cross multiply
    14,772.14x = 22,172.78 × 6,457.90
  4. Step 4: Simplify right side
    14,772.14x = 143,189,595.96
  5. Step 5: Solve for x
    x = 143,189,595.96/14,772.14
  6. Step 6: Final answer
    x = 9,693.22

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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.