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Finding the Fourth Proportional to 15,078.48, 20,809.08 and 9,783.60

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Solution

The fourth proportional to 15,078.48, 20,809.08 and 9,783.60 is: 13,501.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,078.48 : 20,809.08 = 9,783.60 : x
  2. Step 2: Convert to fraction form
    15,078.48/20,809.08 = 9,783.60/x
  3. Step 3: Cross multiply
    15,078.48x = 20,809.08 × 9,783.60
  4. Step 4: Simplify right side
    15,078.48x = 203,587,715.09
  5. Step 5: Solve for x
    x = 203,587,715.09/15,078.48
  6. Step 6: Final answer
    x = 13,501.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.