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Finding the Fourth Proportional to 15,013, 22,523.82 and 4,624.48

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Solution

The fourth proportional to 15,013, 22,523.82 and 4,624.48 is: 6,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,013 : 22,523.82 = 4,624.48 : x
  2. Step 2: Convert to fraction form
    15,013/22,523.82 = 4,624.48/x
  3. Step 3: Cross multiply
    15,013x = 22,523.82 × 4,624.48
  4. Step 4: Simplify right side
    15,013x = 104,160,955.11
  5. Step 5: Solve for x
    x = 104,160,955.11/15,013
  6. Step 6: Final answer
    x = 6,938.05

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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.