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Finding the Fourth Proportional to 23,823.17, 35,709.54 and 8,013.15

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Solution

The fourth proportional to 23,823.17, 35,709.54 and 8,013.15 is: 12,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.17 : 35,709.54 = 8,013.15 : x
  2. Step 2: Convert to fraction form
    23,823.17/35,709.54 = 8,013.15/x
  3. Step 3: Cross multiply
    23,823.17x = 35,709.54 × 8,013.15
  4. Step 4: Simplify right side
    23,823.17x = 286,145,900.45
  5. Step 5: Solve for x
    x = 286,145,900.45/23,823.17
  6. Step 6: Final answer
    x = 12,011.24

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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.