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Finding the Fourth Proportional to 15,147.91, 20,903.33 and 8,434.13

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Solution

The fourth proportional to 15,147.91, 20,903.33 and 8,434.13 is: 11,638.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,147.91 : 20,903.33 = 8,434.13 : x
  2. Step 2: Convert to fraction form
    15,147.91/20,903.33 = 8,434.13/x
  3. Step 3: Cross multiply
    15,147.91x = 20,903.33 × 8,434.13
  4. Step 4: Simplify right side
    15,147.91x = 176,301,319.22
  5. Step 5: Solve for x
    x = 176,301,319.22/15,147.91
  6. Step 6: Final answer
    x = 11,638.66

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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.