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Finding the Fourth Proportional to 15,492.64, 23,208 and 7,161.16

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Solution

The fourth proportional to 15,492.64, 23,208 and 7,161.16 is: 10,727.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,492.64 : 23,208 = 7,161.16 : x
  2. Step 2: Convert to fraction form
    15,492.64/23,208 = 7,161.16/x
  3. Step 3: Cross multiply
    15,492.64x = 23,208 × 7,161.16
  4. Step 4: Simplify right side
    15,492.64x = 166,196,201.28
  5. Step 5: Solve for x
    x = 166,196,201.28/15,492.64
  6. Step 6: Final answer
    x = 10,727.43

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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.