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Finding the Fourth Proportional to 22,970.47, 34,457.07 and 7,177.78

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Solution

The fourth proportional to 22,970.47, 34,457.07 and 7,177.78 is: 10,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.47 : 34,457.07 = 7,177.78 : x
  2. Step 2: Convert to fraction form
    22,970.47/34,457.07 = 7,177.78/x
  3. Step 3: Cross multiply
    22,970.47x = 34,457.07 × 7,177.78
  4. Step 4: Simplify right side
    22,970.47x = 247,325,267.90
  5. Step 5: Solve for x
    x = 247,325,267.90/22,970.47
  6. Step 6: Final answer
    x = 10,767.10

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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.