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Finding the Fourth Proportional to 12,565.49, 18,848.88 and 8,884.13

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Solution

The fourth proportional to 12,565.49, 18,848.88 and 8,884.13 is: 13,326.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.49 : 18,848.88 = 8,884.13 : x
  2. Step 2: Convert to fraction form
    12,565.49/18,848.88 = 8,884.13/x
  3. Step 3: Cross multiply
    12,565.49x = 18,848.88 × 8,884.13
  4. Step 4: Simplify right side
    12,565.49x = 167,455,806.03
  5. Step 5: Solve for x
    x = 167,455,806.03/12,565.49
  6. Step 6: Final answer
    x = 13,326.65

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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.