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Finding the Fourth Proportional to 12,881.76, 19,322.28 and 4,117.20

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Solution

The fourth proportional to 12,881.76, 19,322.28 and 4,117.20 is: 6,175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.76 : 19,322.28 = 4,117.20 : x
  2. Step 2: Convert to fraction form
    12,881.76/19,322.28 = 4,117.20/x
  3. Step 3: Cross multiply
    12,881.76x = 19,322.28 × 4,117.20
  4. Step 4: Simplify right side
    12,881.76x = 79,553,691.22
  5. Step 5: Solve for x
    x = 79,553,691.22/12,881.76
  6. Step 6: Final answer
    x = 6,175.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.