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Finding the Fourth Proportional to 30,713.16, 42,387.60 and 17,287.68

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Solution

The fourth proportional to 30,713.16, 42,387.60 and 17,287.68 is: 23,858.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,713.16 : 42,387.60 = 17,287.68 : x
  2. Step 2: Convert to fraction form
    30,713.16/42,387.60 = 17,287.68/x
  3. Step 3: Cross multiply
    30,713.16x = 42,387.60 × 17,287.68
  4. Step 4: Simplify right side
    30,713.16x = 732,783,264.77
  5. Step 5: Solve for x
    x = 732,783,264.77/30,713.16
  6. Step 6: Final answer
    x = 23,858.93

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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.