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Finding the Fourth Proportional to 23,862.66, 35,779.81 and 9,072.66

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Solution

The fourth proportional to 23,862.66, 35,779.81 and 9,072.66 is: 13,603.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,862.66 : 35,779.81 = 9,072.66 : x
  2. Step 2: Convert to fraction form
    23,862.66/35,779.81 = 9,072.66/x
  3. Step 3: Cross multiply
    23,862.66x = 35,779.81 × 9,072.66
  4. Step 4: Simplify right side
    23,862.66x = 324,618,050.99
  5. Step 5: Solve for x
    x = 324,618,050.99/23,862.66
  6. Step 6: Final answer
    x = 13,603.60

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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.