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Finding the Fourth Proportional to 15,007.31, 22,512.06 and 5,146.51

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Solution

The fourth proportional to 15,007.31, 22,512.06 and 5,146.51 is: 7,720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,007.31 : 22,512.06 = 5,146.51 : x
  2. Step 2: Convert to fraction form
    15,007.31/22,512.06 = 5,146.51/x
  3. Step 3: Cross multiply
    15,007.31x = 22,512.06 × 5,146.51
  4. Step 4: Simplify right side
    15,007.31x = 115,858,541.91
  5. Step 5: Solve for x
    x = 115,858,541.91/15,007.31
  6. Step 6: Final answer
    x = 7,720.14

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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.