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Finding the Fourth Proportional to 19,826.60, 29,729.76 and 10,471.64

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Solution

The fourth proportional to 19,826.60, 29,729.76 and 10,471.64 is: 15,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,826.60 : 29,729.76 = 10,471.64 : x
  2. Step 2: Convert to fraction form
    19,826.60/29,729.76 = 10,471.64/x
  3. Step 3: Cross multiply
    19,826.60x = 29,729.76 × 10,471.64
  4. Step 4: Simplify right side
    19,826.60x = 311,319,344.01
  5. Step 5: Solve for x
    x = 311,319,344.01/19,826.60
  6. Step 6: Final answer
    x = 15,702.10

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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.