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Finding the Fourth Proportional to 30,763.84, 42,454.13 and 16,616.70

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Solution

The fourth proportional to 30,763.84, 42,454.13 and 16,616.70 is: 22,931.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,763.84 : 42,454.13 = 16,616.70 : x
  2. Step 2: Convert to fraction form
    30,763.84/42,454.13 = 16,616.70/x
  3. Step 3: Cross multiply
    30,763.84x = 42,454.13 × 16,616.70
  4. Step 4: Simplify right side
    30,763.84x = 705,447,541.97
  5. Step 5: Solve for x
    x = 705,447,541.97/30,763.84
  6. Step 6: Final answer
    x = 22,931.06

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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.