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Finding the Fourth Proportional to 14,339.16, 19,788.18 and 8,288.94

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Solution

The fourth proportional to 14,339.16, 19,788.18 and 8,288.94 is: 11,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,339.16 : 19,788.18 = 8,288.94 : x
  2. Step 2: Convert to fraction form
    14,339.16/19,788.18 = 8,288.94/x
  3. Step 3: Cross multiply
    14,339.16x = 19,788.18 × 8,288.94
  4. Step 4: Simplify right side
    14,339.16x = 164,023,036.73
  5. Step 5: Solve for x
    x = 164,023,036.73/14,339.16
  6. Step 6: Final answer
    x = 11,438.82

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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.