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Finding the Fourth Proportional to 14,227.94, 19,641.20 and 8,258.45

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Solution

The fourth proportional to 14,227.94, 19,641.20 and 8,258.45 is: 11,400.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,227.94 : 19,641.20 = 8,258.45 : x
  2. Step 2: Convert to fraction form
    14,227.94/19,641.20 = 8,258.45/x
  3. Step 3: Cross multiply
    14,227.94x = 19,641.20 × 8,258.45
  4. Step 4: Simplify right side
    14,227.94x = 162,205,868.14
  5. Step 5: Solve for x
    x = 162,205,868.14/14,227.94
  6. Step 6: Final answer
    x = 11,400.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.