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Finding the Fourth Proportional to 23,823.67, 35,710.29 and 8,013.65

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Solution

The fourth proportional to 23,823.67, 35,710.29 and 8,013.65 is: 12,011.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.67 : 35,710.29 = 8,013.65 : x
  2. Step 2: Convert to fraction form
    23,823.67/35,710.29 = 8,013.65/x
  3. Step 3: Cross multiply
    23,823.67x = 35,710.29 × 8,013.65
  4. Step 4: Simplify right side
    23,823.67x = 286,169,765.46
  5. Step 5: Solve for x
    x = 286,169,765.46/23,823.67
  6. Step 6: Final answer
    x = 12,011.99

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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.