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Finding the Fourth Proportional to 15,884.93, 21,924.06 and 9,169.63

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Solution

The fourth proportional to 15,884.93, 21,924.06 and 9,169.63 is: 12,655.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.93 : 21,924.06 = 9,169.63 : x
  2. Step 2: Convert to fraction form
    15,884.93/21,924.06 = 9,169.63/x
  3. Step 3: Cross multiply
    15,884.93x = 21,924.06 × 9,169.63
  4. Step 4: Simplify right side
    15,884.93x = 201,035,518.30
  5. Step 5: Solve for x
    x = 201,035,518.30/15,884.93
  6. Step 6: Final answer
    x = 12,655.74

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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.