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Finding the Fourth Proportional to 26,427.90, 39,645.45 and 9,783.90

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Solution

The fourth proportional to 26,427.90, 39,645.45 and 9,783.90 is: 14,677.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,427.90 : 39,645.45 = 9,783.90 : x
  2. Step 2: Convert to fraction form
    26,427.90/39,645.45 = 9,783.90/x
  3. Step 3: Cross multiply
    26,427.90x = 39,645.45 × 9,783.90
  4. Step 4: Simplify right side
    26,427.90x = 387,887,118.26
  5. Step 5: Solve for x
    x = 387,887,118.26/26,427.90
  6. Step 6: Final answer
    x = 14,677.18

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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.