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Finding the Fourth Proportional to 25,607.20, 38,410.80 and 11,783.20

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Solution

The fourth proportional to 25,607.20, 38,410.80 and 11,783.20 is: 17,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,607.20 : 38,410.80 = 11,783.20 : x
  2. Step 2: Convert to fraction form
    25,607.20/38,410.80 = 11,783.20/x
  3. Step 3: Cross multiply
    25,607.20x = 38,410.80 × 11,783.20
  4. Step 4: Simplify right side
    25,607.20x = 452,602,138.56
  5. Step 5: Solve for x
    x = 452,602,138.56/25,607.20
  6. Step 6: Final answer
    x = 17,674.80

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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.