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Finding the Fourth Proportional to 26,382.63, 39,564.36 and 7,657.59

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Solution

The fourth proportional to 26,382.63, 39,564.36 and 7,657.59 is: 11,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,382.63 : 39,564.36 = 7,657.59 : x
  2. Step 2: Convert to fraction form
    26,382.63/39,564.36 = 7,657.59/x
  3. Step 3: Cross multiply
    26,382.63x = 39,564.36 × 7,657.59
  4. Step 4: Simplify right side
    26,382.63x = 302,967,647.49
  5. Step 5: Solve for x
    x = 302,967,647.49/26,382.63
  6. Step 6: Final answer
    x = 11,483.60

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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.