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Finding the Fourth Proportional to 30,572.16, 42,189.16 and 17,143.40

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Solution

The fourth proportional to 30,572.16, 42,189.16 and 17,143.40 is: 23,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,572.16 : 42,189.16 = 17,143.40 : x
  2. Step 2: Convert to fraction form
    30,572.16/42,189.16 = 17,143.40/x
  3. Step 3: Cross multiply
    30,572.16x = 42,189.16 × 17,143.40
  4. Step 4: Simplify right side
    30,572.16x = 723,265,645.54
  5. Step 5: Solve for x
    x = 723,265,645.54/30,572.16
  6. Step 6: Final answer
    x = 23,657.66

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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.