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Finding the Fourth Proportional to 23,708.51, 32,721.17 and 14,148.80

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Solution

The fourth proportional to 23,708.51, 32,721.17 and 14,148.80 is: 19,527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,708.51 : 32,721.17 = 14,148.80 : x
  2. Step 2: Convert to fraction form
    23,708.51/32,721.17 = 14,148.80/x
  3. Step 3: Cross multiply
    23,708.51x = 32,721.17 × 14,148.80
  4. Step 4: Simplify right side
    23,708.51x = 462,965,208.29
  5. Step 5: Solve for x
    x = 462,965,208.29/23,708.51
  6. Step 6: Final answer
    x = 19,527.39

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Why These Related Problems?

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