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Finding the Fourth Proportional to 15,340, 23,010.08 and 4,396

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Solution

The fourth proportional to 15,340, 23,010.08 and 4,396 is: 6,594.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,340 : 23,010.08 = 4,396 : x
  2. Step 2: Convert to fraction form
    15,340/23,010.08 = 4,396/x
  3. Step 3: Cross multiply
    15,340x = 23,010.08 × 4,396
  4. Step 4: Simplify right side
    15,340x = 101,152,311.68
  5. Step 5: Solve for x
    x = 101,152,311.68/15,340
  6. Step 6: Final answer
    x = 6,594.02

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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.