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Finding the Fourth Proportional to 13,718.90, 20,571.86 and 6,321.17

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Solution

The fourth proportional to 13,718.90, 20,571.86 and 6,321.17 is: 9,478.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.90 : 20,571.86 = 6,321.17 : x
  2. Step 2: Convert to fraction form
    13,718.90/20,571.86 = 6,321.17/x
  3. Step 3: Cross multiply
    13,718.90x = 20,571.86 × 6,321.17
  4. Step 4: Simplify right side
    13,718.90x = 130,038,291.51
  5. Step 5: Solve for x
    x = 130,038,291.51/13,718.90
  6. Step 6: Final answer
    x = 9,478.77

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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.