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Finding the Fourth Proportional to 24,875, 34,327.52 and 13,697

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Solution

The fourth proportional to 24,875, 34,327.52 and 13,697 is: 18,901.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,875 : 34,327.52 = 13,697 : x
  2. Step 2: Convert to fraction form
    24,875/34,327.52 = 13,697/x
  3. Step 3: Cross multiply
    24,875x = 34,327.52 × 13,697
  4. Step 4: Simplify right side
    24,875x = 470,184,041.44
  5. Step 5: Solve for x
    x = 470,184,041.44/24,875
  6. Step 6: Final answer
    x = 18,901.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.