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Finding the Fourth Proportional to 22,257.60, 33,386.40 and 9,783.60

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Solution

The fourth proportional to 22,257.60, 33,386.40 and 9,783.60 is: 14,675.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,257.60 : 33,386.40 = 9,783.60 : x
  2. Step 2: Convert to fraction form
    22,257.60/33,386.40 = 9,783.60/x
  3. Step 3: Cross multiply
    22,257.60x = 33,386.40 × 9,783.60
  4. Step 4: Simplify right side
    22,257.60x = 326,639,183.04
  5. Step 5: Solve for x
    x = 326,639,183.04/22,257.60
  6. Step 6: Final answer
    x = 14,675.40

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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.