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Finding the Fourth Proportional to 30,576.84, 42,196.12 and 17,838.78

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Solution

The fourth proportional to 30,576.84, 42,196.12 and 17,838.78 is: 24,617.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,576.84 : 42,196.12 = 17,838.78 : x
  2. Step 2: Convert to fraction form
    30,576.84/42,196.12 = 17,838.78/x
  3. Step 3: Cross multiply
    30,576.84x = 42,196.12 × 17,838.78
  4. Step 4: Simplify right side
    30,576.84x = 752,727,482.07
  5. Step 5: Solve for x
    x = 752,727,482.07/30,576.84
  6. Step 6: Final answer
    x = 24,617.57

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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.