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Finding the Fourth Proportional to 26,428.32, 39,617.06 and 9,783.84

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Solution

The fourth proportional to 26,428.32, 39,617.06 and 9,783.84 is: 14,666.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,428.32 : 39,617.06 = 9,783.84 : x
  2. Step 2: Convert to fraction form
    26,428.32/39,617.06 = 9,783.84/x
  3. Step 3: Cross multiply
    26,428.32x = 39,617.06 × 9,783.84
  4. Step 4: Simplify right side
    26,428.32x = 387,606,976.31
  5. Step 5: Solve for x
    x = 387,606,976.31/26,428.32
  6. Step 6: Final answer
    x = 14,666.35

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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.