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Finding the Fourth Proportional to 30,718.52, 42,391.72 and 17,290

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Solution

The fourth proportional to 30,718.52, 42,391.72 and 17,290 is: 23,860.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,718.52 : 42,391.72 = 17,290 : x
  2. Step 2: Convert to fraction form
    30,718.52/42,391.72 = 17,290/x
  3. Step 3: Cross multiply
    30,718.52x = 42,391.72 × 17,290
  4. Step 4: Simplify right side
    30,718.52x = 732,952,838.80
  5. Step 5: Solve for x
    x = 732,952,838.80/30,718.52
  6. Step 6: Final answer
    x = 23,860.29

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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.