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Finding the Fourth Proportional to 24,871.86, 37,309.25 and 7,101.16

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Solution

The fourth proportional to 24,871.86, 37,309.25 and 7,101.16 is: 10,652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,871.86 : 37,309.25 = 7,101.16 : x
  2. Step 2: Convert to fraction form
    24,871.86/37,309.25 = 7,101.16/x
  3. Step 3: Cross multiply
    24,871.86x = 37,309.25 × 7,101.16
  4. Step 4: Simplify right side
    24,871.86x = 264,938,767.18
  5. Step 5: Solve for x
    x = 264,938,767.18/24,871.86
  6. Step 6: Final answer
    x = 10,652.15

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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.