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Finding the Fourth Proportional to 12,162.64, 18,248.04 and 5,587.50

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Solution

The fourth proportional to 12,162.64, 18,248.04 and 5,587.50 is: 8,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162.64 : 18,248.04 = 5,587.50 : x
  2. Step 2: Convert to fraction form
    12,162.64/18,248.04 = 5,587.50/x
  3. Step 3: Cross multiply
    12,162.64x = 18,248.04 × 5,587.50
  4. Step 4: Simplify right side
    12,162.64x = 101,960,923.50
  5. Step 5: Solve for x
    x = 101,960,923.50/12,162.64
  6. Step 6: Final answer
    x = 8,383.12

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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.