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Finding the Fourth Proportional to 23,412.65, 32,306.81 and 13,852.83

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Solution

The fourth proportional to 23,412.65, 32,306.81 and 13,852.83 is: 19,115.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,412.65 : 32,306.81 = 13,852.83 : x
  2. Step 2: Convert to fraction form
    23,412.65/32,306.81 = 13,852.83/x
  3. Step 3: Cross multiply
    23,412.65x = 32,306.81 × 13,852.83
  4. Step 4: Simplify right side
    23,412.65x = 447,540,677.51
  5. Step 5: Solve for x
    x = 447,540,677.51/23,412.65
  6. Step 6: Final answer
    x = 19,115.34

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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.