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Finding the Fourth Proportional to 14,394.40, 19,863.60 and 9,677.92

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Solution

The fourth proportional to 14,394.40, 19,863.60 and 9,677.92 is: 13,355.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,394.40 : 19,863.60 = 9,677.92 : x
  2. Step 2: Convert to fraction form
    14,394.40/19,863.60 = 9,677.92/x
  3. Step 3: Cross multiply
    14,394.40x = 19,863.60 × 9,677.92
  4. Step 4: Simplify right side
    14,394.40x = 192,238,331.71
  5. Step 5: Solve for x
    x = 192,238,331.71/14,394.40
  6. Step 6: Final answer
    x = 13,355.08

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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.