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Finding the Fourth Proportional to 10,153.58, 15,188.25 and 9,531.50

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Solution

The fourth proportional to 10,153.58, 15,188.25 and 9,531.50 is: 14,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.58 : 15,188.25 = 9,531.50 : x
  2. Step 2: Convert to fraction form
    10,153.58/15,188.25 = 9,531.50/x
  3. Step 3: Cross multiply
    10,153.58x = 15,188.25 × 9,531.50
  4. Step 4: Simplify right side
    10,153.58x = 144,766,804.88
  5. Step 5: Solve for x
    x = 144,766,804.88/10,153.58
  6. Step 6: Final answer
    x = 14,257.71

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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.