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Finding the Fourth Proportional to 12,838.38, 19,258.26 and 4,074

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Solution

The fourth proportional to 12,838.38, 19,258.26 and 4,074 is: 6,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.38 : 19,258.26 = 4,074 : x
  2. Step 2: Convert to fraction form
    12,838.38/19,258.26 = 4,074/x
  3. Step 3: Cross multiply
    12,838.38x = 19,258.26 × 4,074
  4. Step 4: Simplify right side
    12,838.38x = 78,458,151.24
  5. Step 5: Solve for x
    x = 78,458,151.24/12,838.38
  6. Step 6: Final answer
    x = 6,111.22

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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.