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Finding the Fourth Proportional to 13,802.90, 20,716.16 and 5,488.76

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Solution

The fourth proportional to 13,802.90, 20,716.16 and 5,488.76 is: 8,237.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.90 : 20,716.16 = 5,488.76 : x
  2. Step 2: Convert to fraction form
    13,802.90/20,716.16 = 5,488.76/x
  3. Step 3: Cross multiply
    13,802.90x = 20,716.16 × 5,488.76
  4. Step 4: Simplify right side
    13,802.90x = 113,706,054.71
  5. Step 5: Solve for x
    x = 113,706,054.71/13,802.90
  6. Step 6: Final answer
    x = 8,237.84

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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.