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Finding the Fourth Proportional to 26,308.40, 39,466.20 and 9,664.40

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Solution

The fourth proportional to 26,308.40, 39,466.20 and 9,664.40 is: 14,497.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,308.40 : 39,466.20 = 9,664.40 : x
  2. Step 2: Convert to fraction form
    26,308.40/39,466.20 = 9,664.40/x
  3. Step 3: Cross multiply
    26,308.40x = 39,466.20 × 9,664.40
  4. Step 4: Simplify right side
    26,308.40x = 381,417,143.28
  5. Step 5: Solve for x
    x = 381,417,143.28/26,308.40
  6. Step 6: Final answer
    x = 14,497.92

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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.