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Finding the Fourth Proportional to 13,870.74, 20,802.38 and 6,467.97

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Solution

The fourth proportional to 13,870.74, 20,802.38 and 6,467.97 is: 9,700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.74 : 20,802.38 = 6,467.97 : x
  2. Step 2: Convert to fraction form
    13,870.74/20,802.38 = 6,467.97/x
  3. Step 3: Cross multiply
    13,870.74x = 20,802.38 × 6,467.97
  4. Step 4: Simplify right side
    13,870.74x = 134,549,137.43
  5. Step 5: Solve for x
    x = 134,549,137.43/13,870.74
  6. Step 6: Final answer
    x = 9,700.21

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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.