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Finding the Fourth Proportional to 30,960.84, 42,728.62 and 17,534.46

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Solution

The fourth proportional to 30,960.84, 42,728.62 and 17,534.46 is: 24,199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,960.84 : 42,728.62 = 17,534.46 : x
  2. Step 2: Convert to fraction form
    30,960.84/42,728.62 = 17,534.46/x
  3. Step 3: Cross multiply
    30,960.84x = 42,728.62 × 17,534.46
  4. Step 4: Simplify right side
    30,960.84x = 749,223,278.25
  5. Step 5: Solve for x
    x = 749,223,278.25/30,960.84
  6. Step 6: Final answer
    x = 24,199.06

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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.