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Finding the Fourth Proportional to 12,005.01, 16,547.09 and 8,024.67

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Solution

The fourth proportional to 12,005.01, 16,547.09 and 8,024.67 is: 11,060.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.01 : 16,547.09 = 8,024.67 : x
  2. Step 2: Convert to fraction form
    12,005.01/16,547.09 = 8,024.67/x
  3. Step 3: Cross multiply
    12,005.01x = 16,547.09 × 8,024.67
  4. Step 4: Simplify right side
    12,005.01x = 132,784,896.59
  5. Step 5: Solve for x
    x = 132,784,896.59/12,005.01
  6. Step 6: Final answer
    x = 11,060.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.