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Finding the Fourth Proportional to 22,502.56, 31,052.80 and 13,074.16

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Solution

The fourth proportional to 22,502.56, 31,052.80 and 13,074.16 is: 18,041.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,502.56 : 31,052.80 = 13,074.16 : x
  2. Step 2: Convert to fraction form
    22,502.56/31,052.80 = 13,074.16/x
  3. Step 3: Cross multiply
    22,502.56x = 31,052.80 × 13,074.16
  4. Step 4: Simplify right side
    22,502.56x = 405,989,275.65
  5. Step 5: Solve for x
    x = 405,989,275.65/22,502.56
  6. Step 6: Final answer
    x = 18,041.92

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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.