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Finding the Fourth Proportional to 15,133.69, 20,882.49 and 8,417.98

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Solution

The fourth proportional to 15,133.69, 20,882.49 and 8,417.98 is: 11,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,133.69 : 20,882.49 = 8,417.98 : x
  2. Step 2: Convert to fraction form
    15,133.69/20,882.49 = 8,417.98/x
  3. Step 3: Cross multiply
    15,133.69x = 20,882.49 × 8,417.98
  4. Step 4: Simplify right side
    15,133.69x = 175,788,383.17
  5. Step 5: Solve for x
    x = 175,788,383.17/15,133.69
  6. Step 6: Final answer
    x = 11,615.70

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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.