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Finding the Fourth Proportional to 23,820.17, 35,700.69 and 8,219.57

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Solution

The fourth proportional to 23,820.17, 35,700.69 and 8,219.57 is: 12,319.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820.17 : 35,700.69 = 8,219.57 : x
  2. Step 2: Convert to fraction form
    23,820.17/35,700.69 = 8,219.57/x
  3. Step 3: Cross multiply
    23,820.17x = 35,700.69 × 8,219.57
  4. Step 4: Simplify right side
    23,820.17x = 293,444,320.50
  5. Step 5: Solve for x
    x = 293,444,320.50/23,820.17
  6. Step 6: Final answer
    x = 12,319.15

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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.