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Finding the Fourth Proportional to 25,243.50, 37,875.99 and 10,463.16

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Solution

The fourth proportional to 25,243.50, 37,875.99 and 10,463.16 is: 15,699.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,243.50 : 37,875.99 = 10,463.16 : x
  2. Step 2: Convert to fraction form
    25,243.50/37,875.99 = 10,463.16/x
  3. Step 3: Cross multiply
    25,243.50x = 37,875.99 × 10,463.16
  4. Step 4: Simplify right side
    25,243.50x = 396,302,543.53
  5. Step 5: Solve for x
    x = 396,302,543.53/25,243.50
  6. Step 6: Final answer
    x = 15,699.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.