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Finding the Fourth Proportional to 23,874.40, 35,827.80 and 15,534.10

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Solution

The fourth proportional to 23,874.40, 35,827.80 and 15,534.10 is: 23,311.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.40 : 35,827.80 = 15,534.10 : x
  2. Step 2: Convert to fraction form
    23,874.40/35,827.80 = 15,534.10/x
  3. Step 3: Cross multiply
    23,874.40x = 35,827.80 × 15,534.10
  4. Step 4: Simplify right side
    23,874.40x = 556,552,627.98
  5. Step 5: Solve for x
    x = 556,552,627.98/23,874.40
  6. Step 6: Final answer
    x = 23,311.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.