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Finding the Fourth Proportional to 16,435.95, 24,646.65 and 10,195.71

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Solution

The fourth proportional to 16,435.95, 24,646.65 and 10,195.71 is: 15,289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,435.95 : 24,646.65 = 10,195.71 : x
  2. Step 2: Convert to fraction form
    16,435.95/24,646.65 = 10,195.71/x
  3. Step 3: Cross multiply
    16,435.95x = 24,646.65 × 10,195.71
  4. Step 4: Simplify right side
    16,435.95x = 251,290,095.87
  5. Step 5: Solve for x
    x = 251,290,095.87/16,435.95
  6. Step 6: Final answer
    x = 15,289.05

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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.