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Finding the Fourth Proportional to 17,497.52, 26,237.64 and 7,632.52

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Solution

The fourth proportional to 17,497.52, 26,237.64 and 7,632.52 is: 11,445.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,497.52 : 26,237.64 = 7,632.52 : x
  2. Step 2: Convert to fraction form
    17,497.52/26,237.64 = 7,632.52/x
  3. Step 3: Cross multiply
    17,497.52x = 26,237.64 × 7,632.52
  4. Step 4: Simplify right side
    17,497.52x = 200,259,312.05
  5. Step 5: Solve for x
    x = 200,259,312.05/17,497.52
  6. Step 6: Final answer
    x = 11,445.01

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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.