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Finding the Fourth Proportional to 15,667.50, 23,500.14 and 7,349.40

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Solution

The fourth proportional to 15,667.50, 23,500.14 and 7,349.40 is: 11,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,667.50 : 23,500.14 = 7,349.40 : x
  2. Step 2: Convert to fraction form
    15,667.50/23,500.14 = 7,349.40/x
  3. Step 3: Cross multiply
    15,667.50x = 23,500.14 × 7,349.40
  4. Step 4: Simplify right side
    15,667.50x = 172,711,928.92
  5. Step 5: Solve for x
    x = 172,711,928.92/15,667.50
  6. Step 6: Final answer
    x = 11,023.58

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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.