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Finding the Fourth Proportional to 19,454.45, 29,180.45 and 9,585

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Solution

The fourth proportional to 19,454.45, 29,180.45 and 9,585 is: 14,376.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,454.45 : 29,180.45 = 9,585 : x
  2. Step 2: Convert to fraction form
    19,454.45/29,180.45 = 9,585/x
  3. Step 3: Cross multiply
    19,454.45x = 29,180.45 × 9,585
  4. Step 4: Simplify right side
    19,454.45x = 279,694,637.21
  5. Step 5: Solve for x
    x = 279,694,637.21/19,454.45
  6. Step 6: Final answer
    x = 14,376.90

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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.