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Finding the Fourth Proportional to 26,386.94, 39,580 and 10,595.99

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Solution

The fourth proportional to 26,386.94, 39,580 and 10,595.99 is: 15,893.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,386.94 : 39,580 = 10,595.99 : x
  2. Step 2: Convert to fraction form
    26,386.94/39,580 = 10,595.99/x
  3. Step 3: Cross multiply
    26,386.94x = 39,580 × 10,595.99
  4. Step 4: Simplify right side
    26,386.94x = 419,389,284.20
  5. Step 5: Solve for x
    x = 419,389,284.20/26,386.94
  6. Step 6: Final answer
    x = 15,893.82

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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.