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Finding the Fourth Proportional to 22,762.04, 34,147.70 and 9,614.40

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Solution

The fourth proportional to 22,762.04, 34,147.70 and 9,614.40 is: 14,423.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.04 : 34,147.70 = 9,614.40 : x
  2. Step 2: Convert to fraction form
    22,762.04/34,147.70 = 9,614.40/x
  3. Step 3: Cross multiply
    22,762.04x = 34,147.70 × 9,614.40
  4. Step 4: Simplify right side
    22,762.04x = 328,309,646.88
  5. Step 5: Solve for x
    x = 328,309,646.88/22,762.04
  6. Step 6: Final answer
    x = 14,423.56

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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.