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Finding the Fourth Proportional to 17,641.32, 24,341.22 and 10,185

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Solution

The fourth proportional to 17,641.32, 24,341.22 and 10,185 is: 14,053.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.32 : 24,341.22 = 10,185 : x
  2. Step 2: Convert to fraction form
    17,641.32/24,341.22 = 10,185/x
  3. Step 3: Cross multiply
    17,641.32x = 24,341.22 × 10,185
  4. Step 4: Simplify right side
    17,641.32x = 247,915,325.70
  5. Step 5: Solve for x
    x = 247,915,325.70/17,641.32
  6. Step 6: Final answer
    x = 14,053.11

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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.