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Finding the Fourth Proportional to 25,396.64, 38,103.60 and 13,076

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Solution

The fourth proportional to 25,396.64, 38,103.60 and 13,076 is: 19,618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,396.64 : 38,103.60 = 13,076 : x
  2. Step 2: Convert to fraction form
    25,396.64/38,103.60 = 13,076/x
  3. Step 3: Cross multiply
    25,396.64x = 38,103.60 × 13,076
  4. Step 4: Simplify right side
    25,396.64x = 498,242,673.60
  5. Step 5: Solve for x
    x = 498,242,673.60/25,396.64
  6. Step 6: Final answer
    x = 19,618.45

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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.