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Finding the Fourth Proportional to 23,807.62, 35,713.25 and 8,012.70

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Solution

The fourth proportional to 23,807.62, 35,713.25 and 8,012.70 is: 12,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.62 : 35,713.25 = 8,012.70 : x
  2. Step 2: Convert to fraction form
    23,807.62/35,713.25 = 8,012.70/x
  3. Step 3: Cross multiply
    23,807.62x = 35,713.25 × 8,012.70
  4. Step 4: Simplify right side
    23,807.62x = 286,159,492.89
  5. Step 5: Solve for x
    x = 286,159,492.89/23,807.62
  6. Step 6: Final answer
    x = 12,019.66

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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.