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Finding the Fourth Proportional to 26,101.35, 39,142.71 and 9,457.07

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Solution

The fourth proportional to 26,101.35, 39,142.71 and 9,457.07 is: 14,182.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,101.35 : 39,142.71 = 9,457.07 : x
  2. Step 2: Convert to fraction form
    26,101.35/39,142.71 = 9,457.07/x
  3. Step 3: Cross multiply
    26,101.35x = 39,142.71 × 9,457.07
  4. Step 4: Simplify right side
    26,101.35x = 370,175,152.75
  5. Step 5: Solve for x
    x = 370,175,152.75/26,101.35
  6. Step 6: Final answer
    x = 14,182.22

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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.