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Finding the Fourth Proportional to 30,657.86, 42,319.41 and 17,915.18

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Solution

The fourth proportional to 30,657.86, 42,319.41 and 17,915.18 is: 24,729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657.86 : 42,319.41 = 17,915.18 : x
  2. Step 2: Convert to fraction form
    30,657.86/42,319.41 = 17,915.18/x
  3. Step 3: Cross multiply
    30,657.86x = 42,319.41 × 17,915.18
  4. Step 4: Simplify right side
    30,657.86x = 758,159,758.07
  5. Step 5: Solve for x
    x = 758,159,758.07/30,657.86
  6. Step 6: Final answer
    x = 24,729.70

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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.