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Finding the Fourth Proportional to 31,008.32, 42,795.09 and 17,400.11

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Solution

The fourth proportional to 31,008.32, 42,795.09 and 17,400.11 is: 24,014.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,008.32 : 42,795.09 = 17,400.11 : x
  2. Step 2: Convert to fraction form
    31,008.32/42,795.09 = 17,400.11/x
  3. Step 3: Cross multiply
    31,008.32x = 42,795.09 × 17,400.11
  4. Step 4: Simplify right side
    31,008.32x = 744,639,186.46
  5. Step 5: Solve for x
    x = 744,639,186.46/31,008.32
  6. Step 6: Final answer
    x = 24,014.18

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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.