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Finding the Fourth Proportional to 15,086.16, 22,596.48 and 9,225

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Solution

The fourth proportional to 15,086.16, 22,596.48 and 9,225 is: 13,817.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,086.16 : 22,596.48 = 9,225 : x
  2. Step 2: Convert to fraction form
    15,086.16/22,596.48 = 9,225/x
  3. Step 3: Cross multiply
    15,086.16x = 22,596.48 × 9,225
  4. Step 4: Simplify right side
    15,086.16x = 208,452,528
  5. Step 5: Solve for x
    x = 208,452,528/15,086.16
  6. Step 6: Final answer
    x = 13,817.47

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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.