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Finding the Fourth Proportional to 15,894.11, 23,840.11 and 6,531.71

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Solution

The fourth proportional to 15,894.11, 23,840.11 and 6,531.71 is: 9,797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.11 : 23,840.11 = 6,531.71 : x
  2. Step 2: Convert to fraction form
    15,894.11/23,840.11 = 6,531.71/x
  3. Step 3: Cross multiply
    15,894.11x = 23,840.11 × 6,531.71
  4. Step 4: Simplify right side
    15,894.11x = 155,716,533.03
  5. Step 5: Solve for x
    x = 155,716,533.03/15,894.11
  6. Step 6: Final answer
    x = 9,797.12

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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.