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Finding the Fourth Proportional to 13,421.50, 20,117.05 and 6,833.77

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Solution

The fourth proportional to 13,421.50, 20,117.05 and 6,833.77 is: 10,242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421.50 : 20,117.05 = 6,833.77 : x
  2. Step 2: Convert to fraction form
    13,421.50/20,117.05 = 6,833.77/x
  3. Step 3: Cross multiply
    13,421.50x = 20,117.05 × 6,833.77
  4. Step 4: Simplify right side
    13,421.50x = 137,475,225.40
  5. Step 5: Solve for x
    x = 137,475,225.40/13,421.50
  6. Step 6: Final answer
    x = 10,242.91

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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.