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Finding the Fourth Proportional to 14,218.76, 21,339.54 and 6,428.24

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Solution

The fourth proportional to 14,218.76, 21,339.54 and 6,428.24 is: 9,647.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,218.76 : 21,339.54 = 6,428.24 : x
  2. Step 2: Convert to fraction form
    14,218.76/21,339.54 = 6,428.24/x
  3. Step 3: Cross multiply
    14,218.76x = 21,339.54 × 6,428.24
  4. Step 4: Simplify right side
    14,218.76x = 137,175,684.61
  5. Step 5: Solve for x
    x = 137,175,684.61/14,218.76
  6. Step 6: Final answer
    x = 9,647.51

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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.