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Finding the Fourth Proportional to 15,498.76, 23,240.88 and 5,631.16

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Solution

The fourth proportional to 15,498.76, 23,240.88 and 5,631.16 is: 8,444.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,498.76 : 23,240.88 = 5,631.16 : x
  2. Step 2: Convert to fraction form
    15,498.76/23,240.88 = 5,631.16/x
  3. Step 3: Cross multiply
    15,498.76x = 23,240.88 × 5,631.16
  4. Step 4: Simplify right side
    15,498.76x = 130,873,113.82
  5. Step 5: Solve for x
    x = 130,873,113.82/15,498.76
  6. Step 6: Final answer
    x = 8,444.10

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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.