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Finding the Fourth Proportional to 24,848.60, 37,272.99 and 9,266

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Solution

The fourth proportional to 24,848.60, 37,272.99 and 9,266 is: 13,899.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,848.60 : 37,272.99 = 9,266 : x
  2. Step 2: Convert to fraction form
    24,848.60/37,272.99 = 9,266/x
  3. Step 3: Cross multiply
    24,848.60x = 37,272.99 × 9,266
  4. Step 4: Simplify right side
    24,848.60x = 345,371,525.34
  5. Step 5: Solve for x
    x = 345,371,525.34/24,848.60
  6. Step 6: Final answer
    x = 13,899.03

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