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Finding the Fourth Proportional to 15,923.16, 23,853.20 and 10,913.20

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Solution

The fourth proportional to 15,923.16, 23,853.20 and 10,913.20 is: 16,348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,923.16 : 23,853.20 = 10,913.20 : x
  2. Step 2: Convert to fraction form
    15,923.16/23,853.20 = 10,913.20/x
  3. Step 3: Cross multiply
    15,923.16x = 23,853.20 × 10,913.20
  4. Step 4: Simplify right side
    15,923.16x = 260,314,742.24
  5. Step 5: Solve for x
    x = 260,314,742.24/15,923.16
  6. Step 6: Final answer
    x = 16,348.18

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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.