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Finding the Fourth Proportional to 14,748.48, 20,352 and 8,780.64

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Solution

The fourth proportional to 14,748.48, 20,352 and 8,780.64 is: 12,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,748.48 : 20,352 = 8,780.64 : x
  2. Step 2: Convert to fraction form
    14,748.48/20,352 = 8,780.64/x
  3. Step 3: Cross multiply
    14,748.48x = 20,352 × 8,780.64
  4. Step 4: Simplify right side
    14,748.48x = 178,703,585.28
  5. Step 5: Solve for x
    x = 178,703,585.28/14,748.48
  6. Step 6: Final answer
    x = 12,116.75

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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.