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Finding the Fourth Proportional to 16,442.92, 24,677.34 and 7,681.96

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Solution

The fourth proportional to 16,442.92, 24,677.34 and 7,681.96 is: 11,528.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442.92 : 24,677.34 = 7,681.96 : x
  2. Step 2: Convert to fraction form
    16,442.92/24,677.34 = 7,681.96/x
  3. Step 3: Cross multiply
    16,442.92x = 24,677.34 × 7,681.96
  4. Step 4: Simplify right side
    16,442.92x = 189,570,338.79
  5. Step 5: Solve for x
    x = 189,570,338.79/16,442.92
  6. Step 6: Final answer
    x = 11,528.99

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1.5x scale

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.