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Finding the Fourth Proportional to 17,638.48, 24,339.33 and 10,564.72

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Solution

The fourth proportional to 17,638.48, 24,339.33 and 10,564.72 is: 14,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.48 : 24,339.33 = 10,564.72 : x
  2. Step 2: Convert to fraction form
    17,638.48/24,339.33 = 10,564.72/x
  3. Step 3: Cross multiply
    17,638.48x = 24,339.33 × 10,564.72
  4. Step 4: Simplify right side
    17,638.48x = 257,138,206.44
  5. Step 5: Solve for x
    x = 257,138,206.44/17,638.48
  6. Step 6: Final answer
    x = 14,578.25

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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.