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Finding the Fourth Proportional to 16,351.32, 24,548.49 and 9,700.05

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Solution

The fourth proportional to 16,351.32, 24,548.49 and 9,700.05 is: 14,562.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,351.32 : 24,548.49 = 9,700.05 : x
  2. Step 2: Convert to fraction form
    16,351.32/24,548.49 = 9,700.05/x
  3. Step 3: Cross multiply
    16,351.32x = 24,548.49 × 9,700.05
  4. Step 4: Simplify right side
    16,351.32x = 238,121,580.42
  5. Step 5: Solve for x
    x = 238,121,580.42/16,351.32
  6. Step 6: Final answer
    x = 14,562.84

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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.