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Finding the Fourth Proportional to 24,839.58, 34,279.02 and 13,509.42

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Solution

The fourth proportional to 24,839.58, 34,279.02 and 13,509.42 is: 18,643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,839.58 : 34,279.02 = 13,509.42 : x
  2. Step 2: Convert to fraction form
    24,839.58/34,279.02 = 13,509.42/x
  3. Step 3: Cross multiply
    24,839.58x = 34,279.02 × 13,509.42
  4. Step 4: Simplify right side
    24,839.58x = 463,089,678.37
  5. Step 5: Solve for x
    x = 463,089,678.37/24,839.58
  6. Step 6: Final answer
    x = 18,643.22

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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.