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Finding the Fourth Proportional to 16,465.68, 24,700.95 and 7,699.86

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Solution

The fourth proportional to 16,465.68, 24,700.95 and 7,699.86 is: 11,550.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.68 : 24,700.95 = 7,699.86 : x
  2. Step 2: Convert to fraction form
    16,465.68/24,700.95 = 7,699.86/x
  3. Step 3: Cross multiply
    16,465.68x = 24,700.95 × 7,699.86
  4. Step 4: Simplify right side
    16,465.68x = 190,193,856.87
  5. Step 5: Solve for x
    x = 190,193,856.87/16,465.68
  6. Step 6: Final answer
    x = 11,550.93

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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.