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Finding the Fourth Proportional to 16,006.32, 24,009.48 and 8,210.16

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Solution

The fourth proportional to 16,006.32, 24,009.48 and 8,210.16 is: 12,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.32 : 24,009.48 = 8,210.16 : x
  2. Step 2: Convert to fraction form
    16,006.32/24,009.48 = 8,210.16/x
  3. Step 3: Cross multiply
    16,006.32x = 24,009.48 × 8,210.16
  4. Step 4: Simplify right side
    16,006.32x = 197,121,672.32
  5. Step 5: Solve for x
    x = 197,121,672.32/16,006.32
  6. Step 6: Final answer
    x = 12,315.24

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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.