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Finding the Fourth Proportional to 29,382.38, 40,547.70 and 15,953.66

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Solution

The fourth proportional to 29,382.38, 40,547.70 and 15,953.66 is: 22,016.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,382.38 : 40,547.70 = 15,953.66 : x
  2. Step 2: Convert to fraction form
    29,382.38/40,547.70 = 15,953.66/x
  3. Step 3: Cross multiply
    29,382.38x = 40,547.70 × 15,953.66
  4. Step 4: Simplify right side
    29,382.38x = 646,884,219.58
  5. Step 5: Solve for x
    x = 646,884,219.58/29,382.38
  6. Step 6: Final answer
    x = 22,016.06

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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.