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Finding the Fourth Proportional to 15,492.74, 23,245.20 and 9,256.16

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Solution

The fourth proportional to 15,492.74, 23,245.20 and 9,256.16 is: 13,887.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,492.74 : 23,245.20 = 9,256.16 : x
  2. Step 2: Convert to fraction form
    15,492.74/23,245.20 = 9,256.16/x
  3. Step 3: Cross multiply
    15,492.74x = 23,245.20 × 9,256.16
  4. Step 4: Simplify right side
    15,492.74x = 215,161,290.43
  5. Step 5: Solve for x
    x = 215,161,290.43/15,492.74
  6. Step 6: Final answer
    x = 13,887.88

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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.