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Finding the Fourth Proportional to 26,317.56, 39,448.76 and 12,266

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Solution

The fourth proportional to 26,317.56, 39,448.76 and 12,266 is: 18,386.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,317.56 : 39,448.76 = 12,266 : x
  2. Step 2: Convert to fraction form
    26,317.56/39,448.76 = 12,266/x
  3. Step 3: Cross multiply
    26,317.56x = 39,448.76 × 12,266
  4. Step 4: Simplify right side
    26,317.56x = 483,878,490.16
  5. Step 5: Solve for x
    x = 483,878,490.16/26,317.56
  6. Step 6: Final answer
    x = 18,386.15

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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.