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Finding the Fourth Proportional to 15,686.58, 23,532.23 and 4,591.88

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Solution

The fourth proportional to 15,686.58, 23,532.23 and 4,591.88 is: 6,888.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.58 : 23,532.23 = 4,591.88 : x
  2. Step 2: Convert to fraction form
    15,686.58/23,532.23 = 4,591.88/x
  3. Step 3: Cross multiply
    15,686.58x = 23,532.23 × 4,591.88
  4. Step 4: Simplify right side
    15,686.58x = 108,057,070.11
  5. Step 5: Solve for x
    x = 108,057,070.11/15,686.58
  6. Step 6: Final answer
    x = 6,888.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.