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Finding the Fourth Proportional to 15,502.84, 23,254.06 and 3,816.16

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Solution

The fourth proportional to 15,502.84, 23,254.06 and 3,816.16 is: 5,724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,502.84 : 23,254.06 = 3,816.16 : x
  2. Step 2: Convert to fraction form
    15,502.84/23,254.06 = 3,816.16/x
  3. Step 3: Cross multiply
    15,502.84x = 23,254.06 × 3,816.16
  4. Step 4: Simplify right side
    15,502.84x = 88,741,213.61
  5. Step 5: Solve for x
    x = 88,741,213.61/15,502.84
  6. Step 6: Final answer
    x = 5,724.19

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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.