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Finding the Fourth Proportional to 21,419.60, 32,119.80 and 9,726.80

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Solution

The fourth proportional to 21,419.60, 32,119.80 and 9,726.80 is: 14,585.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,419.60 : 32,119.80 = 9,726.80 : x
  2. Step 2: Convert to fraction form
    21,419.60/32,119.80 = 9,726.80/x
  3. Step 3: Cross multiply
    21,419.60x = 32,119.80 × 9,726.80
  4. Step 4: Simplify right side
    21,419.60x = 312,422,870.64
  5. Step 5: Solve for x
    x = 312,422,870.64/21,419.60
  6. Step 6: Final answer
    x = 14,585.84

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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.