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Finding the Fourth Proportional to 23,822.81, 35,725.65 and 8,024.47

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Solution

The fourth proportional to 23,822.81, 35,725.65 and 8,024.47 is: 12,033.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.81 : 35,725.65 = 8,024.47 : x
  2. Step 2: Convert to fraction form
    23,822.81/35,725.65 = 8,024.47/x
  3. Step 3: Cross multiply
    23,822.81x = 35,725.65 × 8,024.47
  4. Step 4: Simplify right side
    23,822.81x = 286,679,317.34
  5. Step 5: Solve for x
    x = 286,679,317.34/23,822.81
  6. Step 6: Final answer
    x = 12,033.82

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1.5x scale

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.