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Finding the Fourth Proportional to 17,677.64, 24,394.74 and 10,506.44

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Solution

The fourth proportional to 17,677.64, 24,394.74 and 10,506.44 is: 14,498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.64 : 24,394.74 = 10,506.44 : x
  2. Step 2: Convert to fraction form
    17,677.64/24,394.74 = 10,506.44/x
  3. Step 3: Cross multiply
    17,677.64x = 24,394.74 × 10,506.44
  4. Step 4: Simplify right side
    17,677.64x = 256,301,872.13
  5. Step 5: Solve for x
    x = 256,301,872.13/17,677.64
  6. Step 6: Final answer
    x = 14,498.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.