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Finding the Fourth Proportional to 15,878.17, 23,815.28 and 9,218.28

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Solution

The fourth proportional to 15,878.17, 23,815.28 and 9,218.28 is: 13,826.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878.17 : 23,815.28 = 9,218.28 : x
  2. Step 2: Convert to fraction form
    15,878.17/23,815.28 = 9,218.28/x
  3. Step 3: Cross multiply
    15,878.17x = 23,815.28 × 9,218.28
  4. Step 4: Simplify right side
    15,878.17x = 219,536,031.67
  5. Step 5: Solve for x
    x = 219,536,031.67/15,878.17
  6. Step 6: Final answer
    x = 13,826.28

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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.