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Finding the Fourth Proportional to 13,434.72, 20,152.04 and 3,574

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Solution

The fourth proportional to 13,434.72, 20,152.04 and 3,574 is: 5,360.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,434.72 : 20,152.04 = 3,574 : x
  2. Step 2: Convert to fraction form
    13,434.72/20,152.04 = 3,574/x
  3. Step 3: Cross multiply
    13,434.72x = 20,152.04 × 3,574
  4. Step 4: Simplify right side
    13,434.72x = 72,023,390.96
  5. Step 5: Solve for x
    x = 72,023,390.96/13,434.72
  6. Step 6: Final answer
    x = 5,360.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.