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Finding the Fourth Proportional to 15,574.10, 23,367.99 and 8,176.84

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Solution

The fourth proportional to 15,574.10, 23,367.99 and 8,176.84 is: 12,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,574.10 : 23,367.99 = 8,176.84 : x
  2. Step 2: Convert to fraction form
    15,574.10/23,367.99 = 8,176.84/x
  3. Step 3: Cross multiply
    15,574.10x = 23,367.99 × 8,176.84
  4. Step 4: Simplify right side
    15,574.10x = 191,076,274.47
  5. Step 5: Solve for x
    x = 191,076,274.47/15,574.10
  6. Step 6: Final answer
    x = 12,268.85

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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.