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Finding the Fourth Proportional to 29,888.66, 41,246.62 and 16,460.38

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Solution

The fourth proportional to 29,888.66, 41,246.62 and 16,460.38 is: 22,715.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,888.66 : 41,246.62 = 16,460.38 : x
  2. Step 2: Convert to fraction form
    29,888.66/41,246.62 = 16,460.38/x
  3. Step 3: Cross multiply
    29,888.66x = 41,246.62 × 16,460.38
  4. Step 4: Simplify right side
    29,888.66x = 678,935,049.32
  5. Step 5: Solve for x
    x = 678,935,049.32/29,888.66
  6. Step 6: Final answer
    x = 22,715.47

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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.