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Finding the Fourth Proportional to 15,133.80, 20,885.64 and 9,165.72

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Solution

The fourth proportional to 15,133.80, 20,885.64 and 9,165.72 is: 12,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,133.80 : 20,885.64 = 9,165.72 : x
  2. Step 2: Convert to fraction form
    15,133.80/20,885.64 = 9,165.72/x
  3. Step 3: Cross multiply
    15,133.80x = 20,885.64 × 9,165.72
  4. Step 4: Simplify right side
    15,133.80x = 191,431,928.26
  5. Step 5: Solve for x
    x = 191,431,928.26/15,133.80
  6. Step 6: Final answer
    x = 12,649.30

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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.