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Finding the Fourth Proportional to 23,812.60, 35,709.65 and 12,713.23

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Solution

The fourth proportional to 23,812.60, 35,709.65 and 12,713.23 is: 19,064.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,812.60 : 35,709.65 = 12,713.23 : x
  2. Step 2: Convert to fraction form
    23,812.60/35,709.65 = 12,713.23/x
  3. Step 3: Cross multiply
    23,812.60x = 35,709.65 × 12,713.23
  4. Step 4: Simplify right side
    23,812.60x = 453,984,993.67
  5. Step 5: Solve for x
    x = 453,984,993.67/23,812.60
  6. Step 6: Final answer
    x = 19,064.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.