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Finding the Fourth Proportional to 25,783.60, 38,675.40 and 11,009.20

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Solution

The fourth proportional to 25,783.60, 38,675.40 and 11,009.20 is: 16,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,783.60 : 38,675.40 = 11,009.20 : x
  2. Step 2: Convert to fraction form
    25,783.60/38,675.40 = 11,009.20/x
  3. Step 3: Cross multiply
    25,783.60x = 38,675.40 × 11,009.20
  4. Step 4: Simplify right side
    25,783.60x = 425,785,213.68
  5. Step 5: Solve for x
    x = 425,785,213.68/25,783.60
  6. Step 6: Final answer
    x = 16,513.80

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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.