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Finding the Fourth Proportional to 22,921.60, 34,385.96 and 9,774

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Solution

The fourth proportional to 22,921.60, 34,385.96 and 9,774 is: 14,662.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,921.60 : 34,385.96 = 9,774 : x
  2. Step 2: Convert to fraction form
    22,921.60/34,385.96 = 9,774/x
  3. Step 3: Cross multiply
    22,921.60x = 34,385.96 × 9,774
  4. Step 4: Simplify right side
    22,921.60x = 336,088,373.04
  5. Step 5: Solve for x
    x = 336,088,373.04/22,921.60
  6. Step 6: Final answer
    x = 14,662.52

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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.