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Finding the Fourth Proportional to 15,538.50, 23,304.48 and 5,009.48

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Solution

The fourth proportional to 15,538.50, 23,304.48 and 5,009.48 is: 7,513.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,538.50 : 23,304.48 = 5,009.48 : x
  2. Step 2: Convert to fraction form
    15,538.50/23,304.48 = 5,009.48/x
  3. Step 3: Cross multiply
    15,538.50x = 23,304.48 × 5,009.48
  4. Step 4: Simplify right side
    15,538.50x = 116,743,326.47
  5. Step 5: Solve for x
    x = 116,743,326.47/15,538.50
  6. Step 6: Final answer
    x = 7,513.17

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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.