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Finding the Fourth Proportional to 22,765, 34,152.58 and 6,972.24

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Solution

The fourth proportional to 22,765, 34,152.58 and 6,972.24 is: 10,459.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,765 : 34,152.58 = 6,972.24 : x
  2. Step 2: Convert to fraction form
    22,765/34,152.58 = 6,972.24/x
  3. Step 3: Cross multiply
    22,765x = 34,152.58 × 6,972.24
  4. Step 4: Simplify right side
    22,765x = 238,119,984.38
  5. Step 5: Solve for x
    x = 238,119,984.38/22,765
  6. Step 6: Final answer
    x = 10,459.92

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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.