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Finding the Fourth Proportional to 22,712.72, 34,074.57 and 7,130.34

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Solution

The fourth proportional to 22,712.72, 34,074.57 and 7,130.34 is: 10,697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,712.72 : 34,074.57 = 7,130.34 : x
  2. Step 2: Convert to fraction form
    22,712.72/34,074.57 = 7,130.34/x
  3. Step 3: Cross multiply
    22,712.72x = 34,074.57 × 7,130.34
  4. Step 4: Simplify right side
    22,712.72x = 242,963,269.45
  5. Step 5: Solve for x
    x = 242,963,269.45/22,712.72
  6. Step 6: Final answer
    x = 10,697.24

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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.