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Finding the Fourth Proportional to 13,701.66, 20,552.01 and 5,802

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Solution

The fourth proportional to 13,701.66, 20,552.01 and 5,802 is: 8,702.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.66 : 20,552.01 = 5,802 : x
  2. Step 2: Convert to fraction form
    13,701.66/20,552.01 = 5,802/x
  3. Step 3: Cross multiply
    13,701.66x = 20,552.01 × 5,802
  4. Step 4: Simplify right side
    13,701.66x = 119,242,762.02
  5. Step 5: Solve for x
    x = 119,242,762.02/13,701.66
  6. Step 6: Final answer
    x = 8,702.80

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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.