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Finding the Fourth Proportional to 30,677.76, 42,336.81 and 17,253.24

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Solution

The fourth proportional to 30,677.76, 42,336.81 and 17,253.24 is: 23,810.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,677.76 : 42,336.81 = 17,253.24 : x
  2. Step 2: Convert to fraction form
    30,677.76/42,336.81 = 17,253.24/x
  3. Step 3: Cross multiply
    30,677.76x = 42,336.81 × 17,253.24
  4. Step 4: Simplify right side
    30,677.76x = 730,447,143.76
  5. Step 5: Solve for x
    x = 730,447,143.76/30,677.76
  6. Step 6: Final answer
    x = 23,810.32

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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.