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Finding the Fourth Proportional to 15,308.14, 22,961.40 and 4,919.08

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Solution

The fourth proportional to 15,308.14, 22,961.40 and 4,919.08 is: 7,378.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,308.14 : 22,961.40 = 4,919.08 : x
  2. Step 2: Convert to fraction form
    15,308.14/22,961.40 = 4,919.08/x
  3. Step 3: Cross multiply
    15,308.14x = 22,961.40 × 4,919.08
  4. Step 4: Simplify right side
    15,308.14x = 112,948,963.51
  5. Step 5: Solve for x
    x = 112,948,963.51/15,308.14
  6. Step 6: Final answer
    x = 7,378.36

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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.