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Finding the Fourth Proportional to 39,410.28, 59,115.24 and 9,828.06

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Solution

The fourth proportional to 39,410.28, 59,115.24 and 9,828.06 is: 14,742.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,410.28 : 59,115.24 = 9,828.06 : x
  2. Step 2: Convert to fraction form
    39,410.28/59,115.24 = 9,828.06/x
  3. Step 3: Cross multiply
    39,410.28x = 59,115.24 × 9,828.06
  4. Step 4: Simplify right side
    39,410.28x = 580,988,125.63
  5. Step 5: Solve for x
    x = 580,988,125.63/39,410.28
  6. Step 6: Final answer
    x = 14,742.05

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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.