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Finding the Fourth Proportional to 24,130.54, 33,301.50 and 13,523.58

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Solution

The fourth proportional to 24,130.54, 33,301.50 and 13,523.58 is: 18,663.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,130.54 : 33,301.50 = 13,523.58 : x
  2. Step 2: Convert to fraction form
    24,130.54/33,301.50 = 13,523.58/x
  3. Step 3: Cross multiply
    24,130.54x = 33,301.50 × 13,523.58
  4. Step 4: Simplify right side
    24,130.54x = 450,355,499.37
  5. Step 5: Solve for x
    x = 450,355,499.37/24,130.54
  6. Step 6: Final answer
    x = 18,663.30

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