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Finding the Fourth Proportional to 15,515.88, 21,412.14 and 8,442.30

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Solution

The fourth proportional to 15,515.88, 21,412.14 and 8,442.30 is: 11,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,515.88 : 21,412.14 = 8,442.30 : x
  2. Step 2: Convert to fraction form
    15,515.88/21,412.14 = 8,442.30/x
  3. Step 3: Cross multiply
    15,515.88x = 21,412.14 × 8,442.30
  4. Step 4: Simplify right side
    15,515.88x = 180,767,709.52
  5. Step 5: Solve for x
    x = 180,767,709.52/15,515.88
  6. Step 6: Final answer
    x = 11,650.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.