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Finding the Fourth Proportional to 15,849.44, 21,872.40 and 8,776

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Solution

The fourth proportional to 15,849.44, 21,872.40 and 8,776 is: 12,110.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,849.44 : 21,872.40 = 8,776 : x
  2. Step 2: Convert to fraction form
    15,849.44/21,872.40 = 8,776/x
  3. Step 3: Cross multiply
    15,849.44x = 21,872.40 × 8,776
  4. Step 4: Simplify right side
    15,849.44x = 191,952,182.40
  5. Step 5: Solve for x
    x = 191,952,182.40/15,849.44
  6. Step 6: Final answer
    x = 12,110.98

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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.