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Finding the Fourth Proportional to 22,921.22, 34,376.26 and 9,587

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Solution

The fourth proportional to 22,921.22, 34,376.26 and 9,587 is: 14,378.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,921.22 : 34,376.26 = 9,587 : x
  2. Step 2: Convert to fraction form
    22,921.22/34,376.26 = 9,587/x
  3. Step 3: Cross multiply
    22,921.22x = 34,376.26 × 9,587
  4. Step 4: Simplify right side
    22,921.22x = 329,565,204.62
  5. Step 5: Solve for x
    x = 329,565,204.62/22,921.22
  6. Step 6: Final answer
    x = 14,378.17

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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.