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Finding the Fourth Proportional to 20,538.66, 28,342.15 and 11,587.00

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Solution

The fourth proportional to 20,538.66, 28,342.15 and 11,587.00 is: 15,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538.66 : 28,342.15 = 11,587.00 : x
  2. Step 2: Convert to fraction form
    20,538.66/28,342.15 = 11,587.00/x
  3. Step 3: Cross multiply
    20,538.66x = 28,342.15 × 11,587.00
  4. Step 4: Simplify right side
    20,538.66x = 328,400,510.55
  5. Step 5: Solve for x
    x = 328,400,510.55/20,538.66
  6. Step 6: Final answer
    x = 15,989.38

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Why These Related Problems?

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