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Finding the Fourth Proportional to 39,106.19, 58,659.39 and 9,523.98

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Solution

The fourth proportional to 39,106.19, 58,659.39 and 9,523.98 is: 14,285.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,106.19 : 58,659.39 = 9,523.98 : x
  2. Step 2: Convert to fraction form
    39,106.19/58,659.39 = 9,523.98/x
  3. Step 3: Cross multiply
    39,106.19x = 58,659.39 × 9,523.98
  4. Step 4: Simplify right side
    39,106.19x = 558,670,857.17
  5. Step 5: Solve for x
    x = 558,670,857.17/39,106.19
  6. Step 6: Final answer
    x = 14,285.99

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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.