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Finding the Fourth Proportional to 24,278.64, 33,507.72 and 13,670.34

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Solution

The fourth proportional to 24,278.64, 33,507.72 and 13,670.34 is: 18,866.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,278.64 : 33,507.72 = 13,670.34 : x
  2. Step 2: Convert to fraction form
    24,278.64/33,507.72 = 13,670.34/x
  3. Step 3: Cross multiply
    24,278.64x = 33,507.72 × 13,670.34
  4. Step 4: Simplify right side
    24,278.64x = 458,061,925.02
  5. Step 5: Solve for x
    x = 458,061,925.02/24,278.64
  6. Step 6: Final answer
    x = 18,866.87

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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.