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Finding the Fourth Proportional to 17,830.67, 26,746.62 and 8,465.87

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Solution

The fourth proportional to 17,830.67, 26,746.62 and 8,465.87 is: 12,699.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.67 : 26,746.62 = 8,465.87 : x
  2. Step 2: Convert to fraction form
    17,830.67/26,746.62 = 8,465.87/x
  3. Step 3: Cross multiply
    17,830.67x = 26,746.62 × 8,465.87
  4. Step 4: Simplify right side
    17,830.67x = 226,433,274.13
  5. Step 5: Solve for x
    x = 226,433,274.13/17,830.67
  6. Step 6: Final answer
    x = 12,699.09

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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.