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Finding the Fourth Proportional to 26,038.66, 39,071.76 and 14,200.96

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Solution

The fourth proportional to 26,038.66, 39,071.76 and 14,200.96 is: 21,308.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,038.66 : 39,071.76 = 14,200.96 : x
  2. Step 2: Convert to fraction form
    26,038.66/39,071.76 = 14,200.96/x
  3. Step 3: Cross multiply
    26,038.66x = 39,071.76 × 14,200.96
  4. Step 4: Simplify right side
    26,038.66x = 554,856,500.89
  5. Step 5: Solve for x
    x = 554,856,500.89/26,038.66
  6. Step 6: Final answer
    x = 21,308.95

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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.