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Finding the Fourth Proportional to 10,670.34, 15,928.50 and 10,191.06

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Solution

The fourth proportional to 10,670.34, 15,928.50 and 10,191.06 is: 15,213.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.34 : 15,928.50 = 10,191.06 : x
  2. Step 2: Convert to fraction form
    10,670.34/15,928.50 = 10,191.06/x
  3. Step 3: Cross multiply
    10,670.34x = 15,928.50 × 10,191.06
  4. Step 4: Simplify right side
    10,670.34x = 162,328,299.21
  5. Step 5: Solve for x
    x = 162,328,299.21/10,670.34
  6. Step 6: Final answer
    x = 15,213.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.