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Finding the Fourth Proportional to 15,141.20, 20,897.87 and 8,768.84

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Solution

The fourth proportional to 15,141.20, 20,897.87 and 8,768.84 is: 12,102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,141.20 : 20,897.87 = 8,768.84 : x
  2. Step 2: Convert to fraction form
    15,141.20/20,897.87 = 8,768.84/x
  3. Step 3: Cross multiply
    15,141.20x = 20,897.87 × 8,768.84
  4. Step 4: Simplify right side
    15,141.20x = 183,249,930.04
  5. Step 5: Solve for x
    x = 183,249,930.04/15,141.20
  6. Step 6: Final answer
    x = 12,102.74

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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.