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Finding the Fourth Proportional to 16,345.61, 24,507.86 and 6,991.73

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Solution

The fourth proportional to 16,345.61, 24,507.86 and 6,991.73 is: 10,483.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,345.61 : 24,507.86 = 6,991.73 : x
  2. Step 2: Convert to fraction form
    16,345.61/24,507.86 = 6,991.73/x
  3. Step 3: Cross multiply
    16,345.61x = 24,507.86 × 6,991.73
  4. Step 4: Simplify right side
    16,345.61x = 171,352,182.50
  5. Step 5: Solve for x
    x = 171,352,182.50/16,345.61
  6. Step 6: Final answer
    x = 10,483.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.