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Finding the Fourth Proportional to 19,975.50, 29,963.79 and 6,124.50

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Solution

The fourth proportional to 19,975.50, 29,963.79 and 6,124.50 is: 9,186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,975.50 : 29,963.79 = 6,124.50 : x
  2. Step 2: Convert to fraction form
    19,975.50/29,963.79 = 6,124.50/x
  3. Step 3: Cross multiply
    19,975.50x = 29,963.79 × 6,124.50
  4. Step 4: Simplify right side
    19,975.50x = 183,513,231.86
  5. Step 5: Solve for x
    x = 183,513,231.86/19,975.50
  6. Step 6: Final answer
    x = 9,186.92

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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.