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Finding the Fourth Proportional to 13,810.10, 20,715.13 and 3,421.85

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Solution

The fourth proportional to 13,810.10, 20,715.13 and 3,421.85 is: 5,132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.10 : 20,715.13 = 3,421.85 : x
  2. Step 2: Convert to fraction form
    13,810.10/20,715.13 = 3,421.85/x
  3. Step 3: Cross multiply
    13,810.10x = 20,715.13 × 3,421.85
  4. Step 4: Simplify right side
    13,810.10x = 70,884,050.48
  5. Step 5: Solve for x
    x = 70,884,050.48/13,810.10
  6. Step 6: Final answer
    x = 5,132.77

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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.