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Finding the Fourth Proportional to 22,919.22, 34,373.26 and 9,585

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Solution

The fourth proportional to 22,919.22, 34,373.26 and 9,585 is: 14,375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,919.22 : 34,373.26 = 9,585 : x
  2. Step 2: Convert to fraction form
    22,919.22/34,373.26 = 9,585/x
  3. Step 3: Cross multiply
    22,919.22x = 34,373.26 × 9,585
  4. Step 4: Simplify right side
    22,919.22x = 329,467,697.10
  5. Step 5: Solve for x
    x = 329,467,697.10/22,919.22
  6. Step 6: Final answer
    x = 14,375.17

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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.