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Finding the Fourth Proportional to 19,152.90, 28,729.35 and 9,311.40

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Solution

The fourth proportional to 19,152.90, 28,729.35 and 9,311.40 is: 13,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,152.90 : 28,729.35 = 9,311.40 : x
  2. Step 2: Convert to fraction form
    19,152.90/28,729.35 = 9,311.40/x
  3. Step 3: Cross multiply
    19,152.90x = 28,729.35 × 9,311.40
  4. Step 4: Simplify right side
    19,152.90x = 267,510,469.59
  5. Step 5: Solve for x
    x = 267,510,469.59/19,152.90
  6. Step 6: Final answer
    x = 13,967.10

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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.