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Finding the Fourth Proportional to 24,102.66, 33,261.34 and 13,492.30

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Solution

The fourth proportional to 24,102.66, 33,261.34 and 13,492.30 is: 18,619.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,102.66 : 33,261.34 = 13,492.30 : x
  2. Step 2: Convert to fraction form
    24,102.66/33,261.34 = 13,492.30/x
  3. Step 3: Cross multiply
    24,102.66x = 33,261.34 × 13,492.30
  4. Step 4: Simplify right side
    24,102.66x = 448,771,977.68
  5. Step 5: Solve for x
    x = 448,771,977.68/24,102.66
  6. Step 6: Final answer
    x = 18,619.19

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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.