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Finding the Fourth Proportional to 14,780.88, 20,392.44 and 9,478.64

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Solution

The fourth proportional to 14,780.88, 20,392.44 and 9,478.64 is: 13,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,780.88 : 20,392.44 = 9,478.64 : x
  2. Step 2: Convert to fraction form
    14,780.88/20,392.44 = 9,478.64/x
  3. Step 3: Cross multiply
    14,780.88x = 20,392.44 × 9,478.64
  4. Step 4: Simplify right side
    14,780.88x = 193,292,597.48
  5. Step 5: Solve for x
    x = 193,292,597.48/14,780.88
  6. Step 6: Final answer
    x = 13,077.20

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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.