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Finding the Fourth Proportional to 26,386.92, 39,582 and 11,602.80

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Solution

The fourth proportional to 26,386.92, 39,582 and 11,602.80 is: 17,404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,386.92 : 39,582 = 11,602.80 : x
  2. Step 2: Convert to fraction form
    26,386.92/39,582 = 11,602.80/x
  3. Step 3: Cross multiply
    26,386.92x = 39,582 × 11,602.80
  4. Step 4: Simplify right side
    26,386.92x = 459,262,029.60
  5. Step 5: Solve for x
    x = 459,262,029.60/26,386.92
  6. Step 6: Final answer
    x = 17,404.91

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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.