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Finding the Fourth Proportional to 12,354.35, 17,051.24 and 7,874.51

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Solution

The fourth proportional to 12,354.35, 17,051.24 and 7,874.51 is: 10,868.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354.35 : 17,051.24 = 7,874.51 : x
  2. Step 2: Convert to fraction form
    12,354.35/17,051.24 = 7,874.51/x
  3. Step 3: Cross multiply
    12,354.35x = 17,051.24 × 7,874.51
  4. Step 4: Simplify right side
    12,354.35x = 134,270,094.32
  5. Step 5: Solve for x
    x = 134,270,094.32/12,354.35
  6. Step 6: Final answer
    x = 10,868.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.