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Finding the Fourth Proportional to 20,988.64, 28,964.14 and 11,557

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Solution

The fourth proportional to 20,988.64, 28,964.14 and 11,557 is: 15,948.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,988.64 : 28,964.14 = 11,557 : x
  2. Step 2: Convert to fraction form
    20,988.64/28,964.14 = 11,557/x
  3. Step 3: Cross multiply
    20,988.64x = 28,964.14 × 11,557
  4. Step 4: Simplify right side
    20,988.64x = 334,738,565.98
  5. Step 5: Solve for x
    x = 334,738,565.98/20,988.64
  6. Step 6: Final answer
    x = 15,948.56

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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.