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Finding the Fourth Proportional to 17,657.66, 24,341.91 and 12,335.96

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Solution

The fourth proportional to 17,657.66, 24,341.91 and 12,335.96 is: 17,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.66 : 24,341.91 = 12,335.96 : x
  2. Step 2: Convert to fraction form
    17,657.66/24,341.91 = 12,335.96/x
  3. Step 3: Cross multiply
    17,657.66x = 24,341.91 × 12,335.96
  4. Step 4: Simplify right side
    17,657.66x = 300,280,828.08
  5. Step 5: Solve for x
    x = 300,280,828.08/17,657.66
  6. Step 6: Final answer
    x = 17,005.70

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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.