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Finding the Fourth Proportional to 13,802.98, 20,689.58 and 6,774.81

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Solution

The fourth proportional to 13,802.98, 20,689.58 and 6,774.81 is: 10,154.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.98 : 20,689.58 = 6,774.81 : x
  2. Step 2: Convert to fraction form
    13,802.98/20,689.58 = 6,774.81/x
  3. Step 3: Cross multiply
    13,802.98x = 20,689.58 × 6,774.81
  4. Step 4: Simplify right side
    13,802.98x = 140,167,990.42
  5. Step 5: Solve for x
    x = 140,167,990.42/13,802.98
  6. Step 6: Final answer
    x = 10,154.91

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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.