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Finding the Fourth Proportional to 16,349.41, 24,534.88 and 8,959.06

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Solution

The fourth proportional to 16,349.41, 24,534.88 and 8,959.06 is: 13,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349.41 : 24,534.88 = 8,959.06 : x
  2. Step 2: Convert to fraction form
    16,349.41/24,534.88 = 8,959.06/x
  3. Step 3: Cross multiply
    16,349.41x = 24,534.88 × 8,959.06
  4. Step 4: Simplify right side
    16,349.41x = 219,809,462.01
  5. Step 5: Solve for x
    x = 219,809,462.01/16,349.41
  6. Step 6: Final answer
    x = 13,444.49

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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.