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Finding the Fourth Proportional to 17,657.16, 24,341.22 and 12,335.46

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Solution

The fourth proportional to 17,657.16, 24,341.22 and 12,335.46 is: 17,005.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.16 : 24,341.22 = 12,335.46 : x
  2. Step 2: Convert to fraction form
    17,657.16/24,341.22 = 12,335.46/x
  3. Step 3: Cross multiply
    17,657.16x = 24,341.22 × 12,335.46
  4. Step 4: Simplify right side
    17,657.16x = 300,260,145.66
  5. Step 5: Solve for x
    x = 300,260,145.66/17,657.16
  6. Step 6: Final answer
    x = 17,005.01

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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.