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Finding the Fourth Proportional to 15,149.30, 20,903.54 and 8,434.76

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Solution

The fourth proportional to 15,149.30, 20,903.54 and 8,434.76 is: 11,638.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,149.30 : 20,903.54 = 8,434.76 : x
  2. Step 2: Convert to fraction form
    15,149.30/20,903.54 = 8,434.76/x
  3. Step 3: Cross multiply
    15,149.30x = 20,903.54 × 8,434.76
  4. Step 4: Simplify right side
    15,149.30x = 176,316,196.36
  5. Step 5: Solve for x
    x = 176,316,196.36/15,149.30
  6. Step 6: Final answer
    x = 11,638.57

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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.