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Finding the Fourth Proportional to 25,384.80, 38,073.60 and 7,856.40

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Solution

The fourth proportional to 25,384.80, 38,073.60 and 7,856.40 is: 11,783.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,384.80 : 38,073.60 = 7,856.40 : x
  2. Step 2: Convert to fraction form
    25,384.80/38,073.60 = 7,856.40/x
  3. Step 3: Cross multiply
    25,384.80x = 38,073.60 × 7,856.40
  4. Step 4: Simplify right side
    25,384.80x = 299,121,431.04
  5. Step 5: Solve for x
    x = 299,121,431.04/25,384.80
  6. Step 6: Final answer
    x = 11,783.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.