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Finding the Fourth Proportional to 17,335, 26,006.82 and 5,023

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Solution

The fourth proportional to 17,335, 26,006.82 and 5,023 is: 7,535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,335 : 26,006.82 = 5,023 : x
  2. Step 2: Convert to fraction form
    17,335/26,006.82 = 5,023/x
  3. Step 3: Cross multiply
    17,335x = 26,006.82 × 5,023
  4. Step 4: Simplify right side
    17,335x = 130,632,256.86
  5. Step 5: Solve for x
    x = 130,632,256.86/17,335
  6. Step 6: Final answer
    x = 7,535.75

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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.