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Finding the Fourth Proportional to 14,780.86, 20,392.44 and 9,478.60

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Solution

The fourth proportional to 14,780.86, 20,392.44 and 9,478.60 is: 13,077.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,780.86 : 20,392.44 = 9,478.60 : x
  2. Step 2: Convert to fraction form
    14,780.86/20,392.44 = 9,478.60/x
  3. Step 3: Cross multiply
    14,780.86x = 20,392.44 × 9,478.60
  4. Step 4: Simplify right side
    14,780.86x = 193,291,781.78
  5. Step 5: Solve for x
    x = 193,291,781.78/14,780.86
  6. Step 6: Final answer
    x = 13,077.17

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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.