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Finding the Fourth Proportional to 28,493.64, 42,711.30 and 13,705.20

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Solution

The fourth proportional to 28,493.64, 42,711.30 and 13,705.20 is: 20,543.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,493.64 : 42,711.30 = 13,705.20 : x
  2. Step 2: Convert to fraction form
    28,493.64/42,711.30 = 13,705.20/x
  3. Step 3: Cross multiply
    28,493.64x = 42,711.30 × 13,705.20
  4. Step 4: Simplify right side
    28,493.64x = 585,366,908.76
  5. Step 5: Solve for x
    x = 585,366,908.76/28,493.64
  6. Step 6: Final answer
    x = 20,543.77

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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.