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Finding the Fourth Proportional to 12,557.80, 18,825.18 and 4,658.32

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Solution

The fourth proportional to 12,557.80, 18,825.18 and 4,658.32 is: 6,983.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557.80 : 18,825.18 = 4,658.32 : x
  2. Step 2: Convert to fraction form
    12,557.80/18,825.18 = 4,658.32/x
  3. Step 3: Cross multiply
    12,557.80x = 18,825.18 × 4,658.32
  4. Step 4: Simplify right side
    12,557.80x = 87,693,712.50
  5. Step 5: Solve for x
    x = 87,693,712.50/12,557.80
  6. Step 6: Final answer
    x = 6,983.21

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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.