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Finding the Fourth Proportional to 29,502.65, 40,713.18 and 16,074.06

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Solution

The fourth proportional to 29,502.65, 40,713.18 and 16,074.06 is: 22,181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,502.65 : 40,713.18 = 16,074.06 : x
  2. Step 2: Convert to fraction form
    29,502.65/40,713.18 = 16,074.06/x
  3. Step 3: Cross multiply
    29,502.65x = 40,713.18 × 16,074.06
  4. Step 4: Simplify right side
    29,502.65x = 654,426,098.11
  5. Step 5: Solve for x
    x = 654,426,098.11/29,502.65
  6. Step 6: Final answer
    x = 22,181.94

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Why These Related Problems?

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