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Finding the Fourth Proportional to 23,498.51, 32,444.42 and 16,412.63

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Solution

The fourth proportional to 23,498.51, 32,444.42 and 16,412.63 is: 22,660.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,498.51 : 32,444.42 = 16,412.63 : x
  2. Step 2: Convert to fraction form
    23,498.51/32,444.42 = 16,412.63/x
  3. Step 3: Cross multiply
    23,498.51x = 32,444.42 × 16,412.63
  4. Step 4: Simplify right side
    23,498.51x = 532,498,016.74
  5. Step 5: Solve for x
    x = 532,498,016.74/23,498.51
  6. Step 6: Final answer
    x = 22,660.93

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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.