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Finding the Fourth Proportional to 16,349.54, 24,507.29 and 7,577.24

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Solution

The fourth proportional to 16,349.54, 24,507.29 and 7,577.24 is: 11,357.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349.54 : 24,507.29 = 7,577.24 : x
  2. Step 2: Convert to fraction form
    16,349.54/24,507.29 = 7,577.24/x
  3. Step 3: Cross multiply
    16,349.54x = 24,507.29 × 7,577.24
  4. Step 4: Simplify right side
    16,349.54x = 185,697,457.66
  5. Step 5: Solve for x
    x = 185,697,457.66/16,349.54
  6. Step 6: Final answer
    x = 11,357.97

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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.