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Finding the Fourth Proportional to 15,841.35, 23,798.94 and 9,272.16

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Solution

The fourth proportional to 15,841.35, 23,798.94 and 9,272.16 is: 13,929.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,841.35 : 23,798.94 = 9,272.16 : x
  2. Step 2: Convert to fraction form
    15,841.35/23,798.94 = 9,272.16/x
  3. Step 3: Cross multiply
    15,841.35x = 23,798.94 × 9,272.16
  4. Step 4: Simplify right side
    15,841.35x = 220,667,579.51
  5. Step 5: Solve for x
    x = 220,667,579.51/15,841.35
  6. Step 6: Final answer
    x = 13,929.85

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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.