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Finding the Fourth Proportional to 22,713, 34,074.88 and 7,130.62

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Solution

The fourth proportional to 22,713, 34,074.88 and 7,130.62 is: 10,697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,713 : 34,074.88 = 7,130.62 : x
  2. Step 2: Convert to fraction form
    22,713/34,074.88 = 7,130.62/x
  3. Step 3: Cross multiply
    22,713x = 34,074.88 × 7,130.62
  4. Step 4: Simplify right side
    22,713x = 242,975,020.83
  5. Step 5: Solve for x
    x = 242,975,020.83/22,713
  6. Step 6: Final answer
    x = 10,697.62

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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.