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Finding the Fourth Proportional to 16,342.23, 24,513.63 and 4,655.75

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Solution

The fourth proportional to 16,342.23, 24,513.63 and 4,655.75 is: 6,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342.23 : 24,513.63 = 4,655.75 : x
  2. Step 2: Convert to fraction form
    16,342.23/24,513.63 = 4,655.75/x
  3. Step 3: Cross multiply
    16,342.23x = 24,513.63 × 4,655.75
  4. Step 4: Simplify right side
    16,342.23x = 114,129,210.30
  5. Step 5: Solve for x
    x = 114,129,210.30/16,342.23
  6. Step 6: Final answer
    x = 6,983.70

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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.