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Finding the Fourth Proportional to 13,931.80, 20,898 and 3,543.55

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Solution

The fourth proportional to 13,931.80, 20,898 and 3,543.55 is: 5,315.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,931.80 : 20,898 = 3,543.55 : x
  2. Step 2: Convert to fraction form
    13,931.80/20,898 = 3,543.55/x
  3. Step 3: Cross multiply
    13,931.80x = 20,898 × 3,543.55
  4. Step 4: Simplify right side
    13,931.80x = 74,053,055.66
  5. Step 5: Solve for x
    x = 74,053,055.66/13,931.80
  6. Step 6: Final answer
    x = 5,315.40

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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.