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Finding the Fourth Proportional to 30,806.19, 42,512.51 and 16,659

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Solution

The fourth proportional to 30,806.19, 42,512.51 and 16,659 is: 22,989.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,806.19 : 42,512.51 = 16,659 : x
  2. Step 2: Convert to fraction form
    30,806.19/42,512.51 = 16,659/x
  3. Step 3: Cross multiply
    30,806.19x = 42,512.51 × 16,659
  4. Step 4: Simplify right side
    30,806.19x = 708,215,820.80
  5. Step 5: Solve for x
    x = 708,215,820.80/30,806.19
  6. Step 6: Final answer
    x = 22,989.40

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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.