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Finding the Fourth Proportional to 23,000.68, 31,740.78 and 13,064.68

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Solution

The fourth proportional to 23,000.68, 31,740.78 and 13,064.68 is: 18,029.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,000.68 : 31,740.78 = 13,064.68 : x
  2. Step 2: Convert to fraction form
    23,000.68/31,740.78 = 13,064.68/x
  3. Step 3: Cross multiply
    23,000.68x = 31,740.78 × 13,064.68
  4. Step 4: Simplify right side
    23,000.68x = 414,683,133.65
  5. Step 5: Solve for x
    x = 414,683,133.65/23,000.68
  6. Step 6: Final answer
    x = 18,029.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.