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Finding the Fourth Proportional to 26,478.75, 39,707.74 and 9,607.75

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Solution

The fourth proportional to 26,478.75, 39,707.74 and 9,607.75 is: 14,407.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,478.75 : 39,707.74 = 9,607.75 : x
  2. Step 2: Convert to fraction form
    26,478.75/39,707.74 = 9,607.75/x
  3. Step 3: Cross multiply
    26,478.75x = 39,707.74 × 9,607.75
  4. Step 4: Simplify right side
    26,478.75x = 381,502,038.99
  5. Step 5: Solve for x
    x = 381,502,038.99/26,478.75
  6. Step 6: Final answer
    x = 14,407.86

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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.