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Finding the Fourth Proportional to 19,627.60, 29,415.80 and 9,096.40

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Solution

The fourth proportional to 19,627.60, 29,415.80 and 9,096.40 is: 13,632.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,627.60 : 29,415.80 = 9,096.40 : x
  2. Step 2: Convert to fraction form
    19,627.60/29,415.80 = 9,096.40/x
  3. Step 3: Cross multiply
    19,627.60x = 29,415.80 × 9,096.40
  4. Step 4: Simplify right side
    19,627.60x = 267,577,883.12
  5. Step 5: Solve for x
    x = 267,577,883.12/19,627.60
  6. Step 6: Final answer
    x = 13,632.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.