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Finding the Fourth Proportional to 21,415.80, 32,118.03 and 9,726.42

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Solution

The fourth proportional to 21,415.80, 32,118.03 and 9,726.42 is: 14,587.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,415.80 : 32,118.03 = 9,726.42 : x
  2. Step 2: Convert to fraction form
    21,415.80/32,118.03 = 9,726.42/x
  3. Step 3: Cross multiply
    21,415.80x = 32,118.03 × 9,726.42
  4. Step 4: Simplify right side
    21,415.80x = 312,393,449.35
  5. Step 5: Solve for x
    x = 312,393,449.35/21,415.80
  6. Step 6: Final answer
    x = 14,587.05

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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.