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Finding the Fourth Proportional to 24,586.41, 36,885.11 and 7,054.88

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Solution

The fourth proportional to 24,586.41, 36,885.11 and 7,054.88 is: 10,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,586.41 : 36,885.11 = 7,054.88 : x
  2. Step 2: Convert to fraction form
    24,586.41/36,885.11 = 7,054.88/x
  3. Step 3: Cross multiply
    24,586.41x = 36,885.11 × 7,054.88
  4. Step 4: Simplify right side
    24,586.41x = 260,219,805.14
  5. Step 5: Solve for x
    x = 260,219,805.14/24,586.41
  6. Step 6: Final answer
    x = 10,583.89

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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.