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Finding the Fourth Proportional to 30,616.84, 42,253.68 and 17,188.98

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Solution

The fourth proportional to 30,616.84, 42,253.68 and 17,188.98 is: 23,722.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,616.84 : 42,253.68 = 17,188.98 : x
  2. Step 2: Convert to fraction form
    30,616.84/42,253.68 = 17,188.98/x
  3. Step 3: Cross multiply
    30,616.84x = 42,253.68 × 17,188.98
  4. Step 4: Simplify right side
    30,616.84x = 726,297,660.45
  5. Step 5: Solve for x
    x = 726,297,660.45/30,616.84
  6. Step 6: Final answer
    x = 23,722.16

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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.