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Finding the Fourth Proportional to 22,916.60, 34,378.46 and 9,769

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Solution

The fourth proportional to 22,916.60, 34,378.46 and 9,769 is: 14,655.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,916.60 : 34,378.46 = 9,769 : x
  2. Step 2: Convert to fraction form
    22,916.60/34,378.46 = 9,769/x
  3. Step 3: Cross multiply
    22,916.60x = 34,378.46 × 9,769
  4. Step 4: Simplify right side
    22,916.60x = 335,843,175.74
  5. Step 5: Solve for x
    x = 335,843,175.74/22,916.60
  6. Step 6: Final answer
    x = 14,655.02

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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.