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Finding the Fourth Proportional to 10,160.01, 15,222.57 and 9,132.84

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Solution

The fourth proportional to 10,160.01, 15,222.57 and 9,132.84 is: 13,683.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,160.01 : 15,222.57 = 9,132.84 : x
  2. Step 2: Convert to fraction form
    10,160.01/15,222.57 = 9,132.84/x
  3. Step 3: Cross multiply
    10,160.01x = 15,222.57 × 9,132.84
  4. Step 4: Simplify right side
    10,160.01x = 139,025,296.20
  5. Step 5: Solve for x
    x = 139,025,296.20/10,160.01
  6. Step 6: Final answer
    x = 13,683.58

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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.