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Finding the Fourth Proportional to 13,901.60, 20,852.40 and 5,134.70

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Solution

The fourth proportional to 13,901.60, 20,852.40 and 5,134.70 is: 7,702.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,901.60 : 20,852.40 = 5,134.70 : x
  2. Step 2: Convert to fraction form
    13,901.60/20,852.40 = 5,134.70/x
  3. Step 3: Cross multiply
    13,901.60x = 20,852.40 × 5,134.70
  4. Step 4: Simplify right side
    13,901.60x = 107,070,818.28
  5. Step 5: Solve for x
    x = 107,070,818.28/13,901.60
  6. Step 6: Final answer
    x = 7,702.05

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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.