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Finding the Fourth Proportional to 15,134.24, 20,885.88 and 9,164.84

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Solution

The fourth proportional to 15,134.24, 20,885.88 and 9,164.84 is: 12,647.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,134.24 : 20,885.88 = 9,164.84 : x
  2. Step 2: Convert to fraction form
    15,134.24/20,885.88 = 9,164.84/x
  3. Step 3: Cross multiply
    15,134.24x = 20,885.88 × 9,164.84
  4. Step 4: Simplify right side
    15,134.24x = 191,415,748.46
  5. Step 5: Solve for x
    x = 191,415,748.46/15,134.24
  6. Step 6: Final answer
    x = 12,647.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.