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Finding the Fourth Proportional to 20,478.64, 28,276.80 and 13,770.16

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Solution

The fourth proportional to 20,478.64, 28,276.80 and 13,770.16 is: 19,013.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,478.64 : 28,276.80 = 13,770.16 : x
  2. Step 2: Convert to fraction form
    20,478.64/28,276.80 = 13,770.16/x
  3. Step 3: Cross multiply
    20,478.64x = 28,276.80 × 13,770.16
  4. Step 4: Simplify right side
    20,478.64x = 389,376,060.29
  5. Step 5: Solve for x
    x = 389,376,060.29/20,478.64
  6. Step 6: Final answer
    x = 19,013.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.