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Finding the Fourth Proportional to 11,531.84, 17,312.33 and 9,811.40

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Solution

The fourth proportional to 11,531.84, 17,312.33 and 9,811.40 is: 14,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531.84 : 17,312.33 = 9,811.40 : x
  2. Step 2: Convert to fraction form
    11,531.84/17,312.33 = 9,811.40/x
  3. Step 3: Cross multiply
    11,531.84x = 17,312.33 × 9,811.40
  4. Step 4: Simplify right side
    11,531.84x = 169,858,132.53
  5. Step 5: Solve for x
    x = 169,858,132.53/11,531.84
  6. Step 6: Final answer
    x = 14,729.50

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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.