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Finding the Fourth Proportional to 29,767.65, 41,079.86 and 16,340.16

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Solution

The fourth proportional to 29,767.65, 41,079.86 and 16,340.16 is: 22,549.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,767.65 : 41,079.86 = 16,340.16 : x
  2. Step 2: Convert to fraction form
    29,767.65/41,079.86 = 16,340.16/x
  3. Step 3: Cross multiply
    29,767.65x = 41,079.86 × 16,340.16
  4. Step 4: Simplify right side
    29,767.65x = 671,251,485.18
  5. Step 5: Solve for x
    x = 671,251,485.18/29,767.65
  6. Step 6: Final answer
    x = 22,549.70

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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.