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Finding the Fourth Proportional to 12,975.57, 19,463.09 and 4,210.47

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Solution

The fourth proportional to 12,975.57, 19,463.09 and 4,210.47 is: 6,315.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975.57 : 19,463.09 = 4,210.47 : x
  2. Step 2: Convert to fraction form
    12,975.57/19,463.09 = 4,210.47/x
  3. Step 3: Cross multiply
    12,975.57x = 19,463.09 × 4,210.47
  4. Step 4: Simplify right side
    12,975.57x = 81,948,735.50
  5. Step 5: Solve for x
    x = 81,948,735.50/12,975.57
  6. Step 6: Final answer
    x = 6,315.62

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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.