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Finding the Fourth Proportional to 15,117.40, 20,854.09 and 10,270.40

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Solution

The fourth proportional to 15,117.40, 20,854.09 and 10,270.40 is: 14,167.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,117.40 : 20,854.09 = 10,270.40 : x
  2. Step 2: Convert to fraction form
    15,117.40/20,854.09 = 10,270.40/x
  3. Step 3: Cross multiply
    15,117.40x = 20,854.09 × 10,270.40
  4. Step 4: Simplify right side
    15,117.40x = 214,179,754.50
  5. Step 5: Solve for x
    x = 214,179,754.50/15,117.40
  6. Step 6: Final answer
    x = 14,167.76

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1.5x scale

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.