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Finding the Fourth Proportional to 20,988.55, 28,964.19 and 11,557

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Solution

The fourth proportional to 20,988.55, 28,964.19 and 11,557 is: 15,948.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,988.55 : 28,964.19 = 11,557 : x
  2. Step 2: Convert to fraction form
    20,988.55/28,964.19 = 11,557/x
  3. Step 3: Cross multiply
    20,988.55x = 28,964.19 × 11,557
  4. Step 4: Simplify right side
    20,988.55x = 334,739,143.83
  5. Step 5: Solve for x
    x = 334,739,143.83/20,988.55
  6. Step 6: Final answer
    x = 15,948.66

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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.