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Finding the Fourth Proportional to 21,949.60, 32,908.20 and 9,459.40

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Solution

The fourth proportional to 21,949.60, 32,908.20 and 9,459.40 is: 14,182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,949.60 : 32,908.20 = 9,459.40 : x
  2. Step 2: Convert to fraction form
    21,949.60/32,908.20 = 9,459.40/x
  3. Step 3: Cross multiply
    21,949.60x = 32,908.20 × 9,459.40
  4. Step 4: Simplify right side
    21,949.60x = 311,291,827.08
  5. Step 5: Solve for x
    x = 311,291,827.08/21,949.60
  6. Step 6: Final answer
    x = 14,182.12

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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.