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Finding the Fourth Proportional to 17,830.83, 26,742.38 and 5,347.51

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Solution

The fourth proportional to 17,830.83, 26,742.38 and 5,347.51 is: 8,020.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.83 : 26,742.38 = 5,347.51 : x
  2. Step 2: Convert to fraction form
    17,830.83/26,742.38 = 5,347.51/x
  3. Step 3: Cross multiply
    17,830.83x = 26,742.38 × 5,347.51
  4. Step 4: Simplify right side
    17,830.83x = 143,005,028.31
  5. Step 5: Solve for x
    x = 143,005,028.31/17,830.83
  6. Step 6: Final answer
    x = 8,020.10

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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.