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Finding the Fourth Proportional to 16,314.09, 24,417.14 and 14,033.13

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Solution

The fourth proportional to 16,314.09, 24,417.14 and 14,033.13 is: 21,003.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.09 : 24,417.14 = 14,033.13 : x
  2. Step 2: Convert to fraction form
    16,314.09/24,417.14 = 14,033.13/x
  3. Step 3: Cross multiply
    16,314.09x = 24,417.14 × 14,033.13
  4. Step 4: Simplify right side
    16,314.09x = 342,648,829.68
  5. Step 5: Solve for x
    x = 342,648,829.68/16,314.09
  6. Step 6: Final answer
    x = 21,003.25

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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.