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Finding the Fourth Proportional to 15,238.31, 22,836.71 and 7,340.25

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Solution

The fourth proportional to 15,238.31, 22,836.71 and 7,340.25 is: 11,000.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,238.31 : 22,836.71 = 7,340.25 : x
  2. Step 2: Convert to fraction form
    15,238.31/22,836.71 = 7,340.25/x
  3. Step 3: Cross multiply
    15,238.31x = 22,836.71 × 7,340.25
  4. Step 4: Simplify right side
    15,238.31x = 167,627,209.51
  5. Step 5: Solve for x
    x = 167,627,209.51/15,238.31
  6. Step 6: Final answer
    x = 11,000.38

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1.5x scale

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.