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Finding the Fourth Proportional to 22,215.60, 33,296.40 and 9,709.20

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Solution

The fourth proportional to 22,215.60, 33,296.40 and 9,709.20 is: 14,552.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,215.60 : 33,296.40 = 9,709.20 : x
  2. Step 2: Convert to fraction form
    22,215.60/33,296.40 = 9,709.20/x
  3. Step 3: Cross multiply
    22,215.60x = 33,296.40 × 9,709.20
  4. Step 4: Simplify right side
    22,215.60x = 323,281,406.88
  5. Step 5: Solve for x
    x = 323,281,406.88/22,215.60
  6. Step 6: Final answer
    x = 14,552.00

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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.