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Finding the Fourth Proportional to 17,636.71, 24,339.78 and 11,657.89

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Solution

The fourth proportional to 17,636.71, 24,339.78 and 11,657.89 is: 16,088.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,636.71 : 24,339.78 = 11,657.89 : x
  2. Step 2: Convert to fraction form
    17,636.71/24,339.78 = 11,657.89/x
  3. Step 3: Cross multiply
    17,636.71x = 24,339.78 × 11,657.89
  4. Step 4: Simplify right side
    17,636.71x = 283,750,477.86
  5. Step 5: Solve for x
    x = 283,750,477.86/17,636.71
  6. Step 6: Final answer
    x = 16,088.63

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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.