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Finding the Fourth Proportional to 26,952.84, 40,426.14 and 10,312.50

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Solution

The fourth proportional to 26,952.84, 40,426.14 and 10,312.50 is: 15,467.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,952.84 : 40,426.14 = 10,312.50 : x
  2. Step 2: Convert to fraction form
    26,952.84/40,426.14 = 10,312.50/x
  3. Step 3: Cross multiply
    26,952.84x = 40,426.14 × 10,312.50
  4. Step 4: Simplify right side
    26,952.84x = 416,894,568.75
  5. Step 5: Solve for x
    x = 416,894,568.75/26,952.84
  6. Step 6: Final answer
    x = 15,467.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.