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Finding the Fourth Proportional to 15,675.72, 23,511.42 and 9,105

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Solution

The fourth proportional to 15,675.72, 23,511.42 and 9,105 is: 13,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,675.72 : 23,511.42 = 9,105 : x
  2. Step 2: Convert to fraction form
    15,675.72/23,511.42 = 9,105/x
  3. Step 3: Cross multiply
    15,675.72x = 23,511.42 × 9,105
  4. Step 4: Simplify right side
    15,675.72x = 214,071,479.10
  5. Step 5: Solve for x
    x = 214,071,479.10/15,675.72
  6. Step 6: Final answer
    x = 13,656.25

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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.