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Finding the Fourth Proportional to 16,643.18, 24,965.00 and 9,294.41

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Solution

The fourth proportional to 16,643.18, 24,965.00 and 9,294.41 is: 13,941.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,643.18 : 24,965.00 = 9,294.41 : x
  2. Step 2: Convert to fraction form
    16,643.18/24,965.00 = 9,294.41/x
  3. Step 3: Cross multiply
    16,643.18x = 24,965.00 × 9,294.41
  4. Step 4: Simplify right side
    16,643.18x = 232,034,844.06
  5. Step 5: Solve for x
    x = 232,034,844.06/16,643.18
  6. Step 6: Final answer
    x = 13,941.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.