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Finding the Fourth Proportional to 21,615.80, 32,427.06 and 9,135.87

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Solution

The fourth proportional to 21,615.80, 32,427.06 and 9,135.87 is: 13,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,615.80 : 32,427.06 = 9,135.87 : x
  2. Step 2: Convert to fraction form
    21,615.80/32,427.06 = 9,135.87/x
  3. Step 3: Cross multiply
    21,615.80x = 32,427.06 × 9,135.87
  4. Step 4: Simplify right side
    21,615.80x = 296,249,404.64
  5. Step 5: Solve for x
    x = 296,249,404.64/21,615.80
  6. Step 6: Final answer
    x = 13,705.23

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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.