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Finding the Fourth Proportional to 17,868.72, 24,670.02 and 11,506.38

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Solution

The fourth proportional to 17,868.72, 24,670.02 and 11,506.38 is: 15,886.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,868.72 : 24,670.02 = 11,506.38 : x
  2. Step 2: Convert to fraction form
    17,868.72/24,670.02 = 11,506.38/x
  3. Step 3: Cross multiply
    17,868.72x = 24,670.02 × 11,506.38
  4. Step 4: Simplify right side
    17,868.72x = 283,862,624.73
  5. Step 5: Solve for x
    x = 283,862,624.73/17,868.72
  6. Step 6: Final answer
    x = 15,886.01

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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.