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Finding the Fourth Proportional to 14,654.32, 20,200.80 and 10,178.32

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Solution

The fourth proportional to 14,654.32, 20,200.80 and 10,178.32 is: 14,030.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654.32 : 20,200.80 = 10,178.32 : x
  2. Step 2: Convert to fraction form
    14,654.32/20,200.80 = 10,178.32/x
  3. Step 3: Cross multiply
    14,654.32x = 20,200.80 × 10,178.32
  4. Step 4: Simplify right side
    14,654.32x = 205,610,206.66
  5. Step 5: Solve for x
    x = 205,610,206.66/14,654.32
  6. Step 6: Final answer
    x = 14,030.69

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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.