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Finding the Fourth Proportional to 14,775.64, 20,378.82 and 9,470.98

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Solution

The fourth proportional to 14,775.64, 20,378.82 and 9,470.98 is: 13,062.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,775.64 : 20,378.82 = 9,470.98 : x
  2. Step 2: Convert to fraction form
    14,775.64/20,378.82 = 9,470.98/x
  3. Step 3: Cross multiply
    14,775.64x = 20,378.82 × 9,470.98
  4. Step 4: Simplify right side
    14,775.64x = 193,007,396.64
  5. Step 5: Solve for x
    x = 193,007,396.64/14,775.64
  6. Step 6: Final answer
    x = 13,062.54

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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.