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Finding the Fourth Proportional to 15,334, 23,006.55 and 7,548.28

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Solution

The fourth proportional to 15,334, 23,006.55 and 7,548.28 is: 11,325.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,334 : 23,006.55 = 7,548.28 : x
  2. Step 2: Convert to fraction form
    15,334/23,006.55 = 7,548.28/x
  3. Step 3: Cross multiply
    15,334x = 23,006.55 × 7,548.28
  4. Step 4: Simplify right side
    15,334x = 173,659,881.23
  5. Step 5: Solve for x
    x = 173,659,881.23/15,334
  6. Step 6: Final answer
    x = 11,325.15

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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.