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Finding the Fourth Proportional to 39,316.50, 58,984.74 and 11,614.50

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Solution

The fourth proportional to 39,316.50, 58,984.74 and 11,614.50 is: 17,424.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,316.50 : 58,984.74 = 11,614.50 : x
  2. Step 2: Convert to fraction form
    39,316.50/58,984.74 = 11,614.50/x
  3. Step 3: Cross multiply
    39,316.50x = 58,984.74 × 11,614.50
  4. Step 4: Simplify right side
    39,316.50x = 685,078,262.73
  5. Step 5: Solve for x
    x = 685,078,262.73/39,316.50
  6. Step 6: Final answer
    x = 17,424.70

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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.