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Finding the Fourth Proportional to 21,412.73, 32,119.10 and 9,726.86

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Solution

The fourth proportional to 21,412.73, 32,119.10 and 9,726.86 is: 14,590.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,412.73 : 32,119.10 = 9,726.86 : x
  2. Step 2: Convert to fraction form
    21,412.73/32,119.10 = 9,726.86/x
  3. Step 3: Cross multiply
    21,412.73x = 32,119.10 × 9,726.86
  4. Step 4: Simplify right side
    21,412.73x = 312,417,989.03
  5. Step 5: Solve for x
    x = 312,417,989.03/21,412.73
  6. Step 6: Final answer
    x = 14,590.29

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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.