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Finding the Fourth Proportional to 15,894.20, 23,833.05 and 6,532.49

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Solution

The fourth proportional to 15,894.20, 23,833.05 and 6,532.49 is: 9,795.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.20 : 23,833.05 = 6,532.49 : x
  2. Step 2: Convert to fraction form
    15,894.20/23,833.05 = 6,532.49/x
  3. Step 3: Cross multiply
    15,894.20x = 23,833.05 × 6,532.49
  4. Step 4: Simplify right side
    15,894.20x = 155,689,041.63
  5. Step 5: Solve for x
    x = 155,689,041.63/15,894.20
  6. Step 6: Final answer
    x = 9,795.34

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