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Finding the Fourth Proportional to 16,419.96, 24,632.40 and 5,322.96

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Solution

The fourth proportional to 16,419.96, 24,632.40 and 5,322.96 is: 7,985.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419.96 : 24,632.40 = 5,322.96 : x
  2. Step 2: Convert to fraction form
    16,419.96/24,632.40 = 5,322.96/x
  3. Step 3: Cross multiply
    16,419.96x = 24,632.40 × 5,322.96
  4. Step 4: Simplify right side
    16,419.96x = 131,117,279.90
  5. Step 5: Solve for x
    x = 131,117,279.90/16,419.96
  6. Step 6: Final answer
    x = 7,985.24

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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.