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Finding the Fourth Proportional to 16,006.32, 24,009.40 and 8,210.80

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Solution

The fourth proportional to 16,006.32, 24,009.40 and 8,210.80 is: 12,316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.32 : 24,009.40 = 8,210.80 : x
  2. Step 2: Convert to fraction form
    16,006.32/24,009.40 = 8,210.80/x
  3. Step 3: Cross multiply
    16,006.32x = 24,009.40 × 8,210.80
  4. Step 4: Simplify right side
    16,006.32x = 197,136,381.52
  5. Step 5: Solve for x
    x = 197,136,381.52/16,006.32
  6. Step 6: Final answer
    x = 12,316.16

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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.