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Finding the Fourth Proportional to 14,180.76, 19,569.17 and 8,878.50

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Solution

The fourth proportional to 14,180.76, 19,569.17 and 8,878.50 is: 12,252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,180.76 : 19,569.17 = 8,878.50 : x
  2. Step 2: Convert to fraction form
    14,180.76/19,569.17 = 8,878.50/x
  3. Step 3: Cross multiply
    14,180.76x = 19,569.17 × 8,878.50
  4. Step 4: Simplify right side
    14,180.76x = 173,744,898.04
  5. Step 5: Solve for x
    x = 173,744,898.04/14,180.76
  6. Step 6: Final answer
    x = 12,252.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.