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Finding the Fourth Proportional to 15,314.88, 22,969.42 and 4,218.80

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Solution

The fourth proportional to 15,314.88, 22,969.42 and 4,218.80 is: 6,327.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314.88 : 22,969.42 = 4,218.80 : x
  2. Step 2: Convert to fraction form
    15,314.88/22,969.42 = 4,218.80/x
  3. Step 3: Cross multiply
    15,314.88x = 22,969.42 × 4,218.80
  4. Step 4: Simplify right side
    15,314.88x = 96,903,389.10
  5. Step 5: Solve for x
    x = 96,903,389.10/15,314.88
  6. Step 6: Final answer
    x = 6,327.40

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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.