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Finding the Fourth Proportional to 16,203.92, 24,304.92 and 5,814.32

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Solution

The fourth proportional to 16,203.92, 24,304.92 and 5,814.32 is: 8,721.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,203.92 : 24,304.92 = 5,814.32 : x
  2. Step 2: Convert to fraction form
    16,203.92/24,304.92 = 5,814.32/x
  3. Step 3: Cross multiply
    16,203.92x = 24,304.92 × 5,814.32
  4. Step 4: Simplify right side
    16,203.92x = 141,316,582.45
  5. Step 5: Solve for x
    x = 141,316,582.45/16,203.92
  6. Step 6: Final answer
    x = 8,721.14

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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.