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Finding the Fourth Proportional to 23,856.31, 35,762.59 and 8,263

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Solution

The fourth proportional to 23,856.31, 35,762.59 and 8,263 is: 12,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,856.31 : 35,762.59 = 8,263 : x
  2. Step 2: Convert to fraction form
    23,856.31/35,762.59 = 8,263/x
  3. Step 3: Cross multiply
    23,856.31x = 35,762.59 × 8,263
  4. Step 4: Simplify right side
    23,856.31x = 295,506,281.17
  5. Step 5: Solve for x
    x = 295,506,281.17/23,856.31
  6. Step 6: Final answer
    x = 12,386.92

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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.