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Finding the Fourth Proportional to 30,693.14, 42,360.15 and 17,264.90

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Solution

The fourth proportional to 30,693.14, 42,360.15 and 17,264.90 is: 23,827.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,693.14 : 42,360.15 = 17,264.90 : x
  2. Step 2: Convert to fraction form
    30,693.14/42,360.15 = 17,264.90/x
  3. Step 3: Cross multiply
    30,693.14x = 42,360.15 × 17,264.90
  4. Step 4: Simplify right side
    30,693.14x = 731,343,753.74
  5. Step 5: Solve for x
    x = 731,343,753.74/30,693.14
  6. Step 6: Final answer
    x = 23,827.60

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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.