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Finding the Fourth Proportional to 12,565.80, 18,824.04 and 10,228.32

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Solution

The fourth proportional to 12,565.80, 18,824.04 and 10,228.32 is: 15,322.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.80 : 18,824.04 = 10,228.32 : x
  2. Step 2: Convert to fraction form
    12,565.80/18,824.04 = 10,228.32/x
  3. Step 3: Cross multiply
    12,565.80x = 18,824.04 × 10,228.32
  4. Step 4: Simplify right side
    12,565.80x = 192,538,304.81
  5. Step 5: Solve for x
    x = 192,538,304.81/12,565.80
  6. Step 6: Final answer
    x = 15,322.41

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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.