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Finding the Fourth Proportional to 24,501.06, 36,749.16 and 7,873.11

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Solution

The fourth proportional to 24,501.06, 36,749.16 and 7,873.11 is: 11,808.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,501.06 : 36,749.16 = 7,873.11 : x
  2. Step 2: Convert to fraction form
    24,501.06/36,749.16 = 7,873.11/x
  3. Step 3: Cross multiply
    24,501.06x = 36,749.16 × 7,873.11
  4. Step 4: Simplify right side
    24,501.06x = 289,330,179.09
  5. Step 5: Solve for x
    x = 289,330,179.09/24,501.06
  6. Step 6: Final answer
    x = 11,808.88

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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.