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Finding the Fourth Proportional to 17,472.38, 24,111.06 and 9,514.58

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Solution

The fourth proportional to 17,472.38, 24,111.06 and 9,514.58 is: 13,129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,472.38 : 24,111.06 = 9,514.58 : x
  2. Step 2: Convert to fraction form
    17,472.38/24,111.06 = 9,514.58/x
  3. Step 3: Cross multiply
    17,472.38x = 24,111.06 × 9,514.58
  4. Step 4: Simplify right side
    17,472.38x = 229,406,669.53
  5. Step 5: Solve for x
    x = 229,406,669.53/17,472.38
  6. Step 6: Final answer
    x = 13,129.67

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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.