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Finding the Fourth Proportional to 15,674.76, 21,631.86 and 9,387

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Solution

The fourth proportional to 15,674.76, 21,631.86 and 9,387 is: 12,954.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,674.76 : 21,631.86 = 9,387 : x
  2. Step 2: Convert to fraction form
    15,674.76/21,631.86 = 9,387/x
  3. Step 3: Cross multiply
    15,674.76x = 21,631.86 × 9,387
  4. Step 4: Simplify right side
    15,674.76x = 203,058,269.82
  5. Step 5: Solve for x
    x = 203,058,269.82/15,674.76
  6. Step 6: Final answer
    x = 12,954.47

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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.