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Finding the Fourth Proportional to 30,871.16, 42,601.61 and 17,259.14

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Solution

The fourth proportional to 30,871.16, 42,601.61 and 17,259.14 is: 23,817.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,871.16 : 42,601.61 = 17,259.14 : x
  2. Step 2: Convert to fraction form
    30,871.16/42,601.61 = 17,259.14/x
  3. Step 3: Cross multiply
    30,871.16x = 42,601.61 × 17,259.14
  4. Step 4: Simplify right side
    30,871.16x = 735,267,300.87
  5. Step 5: Solve for x
    x = 735,267,300.87/30,871.16
  6. Step 6: Final answer
    x = 23,817.29

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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.