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Finding the Fourth Proportional to 34,009.16, 51,013.32 and 11,822.12

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Solution

The fourth proportional to 34,009.16, 51,013.32 and 11,822.12 is: 17,733.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,009.16 : 51,013.32 = 11,822.12 : x
  2. Step 2: Convert to fraction form
    34,009.16/51,013.32 = 11,822.12/x
  3. Step 3: Cross multiply
    34,009.16x = 51,013.32 × 11,822.12
  4. Step 4: Simplify right side
    34,009.16x = 603,085,590.64
  5. Step 5: Solve for x
    x = 603,085,590.64/34,009.16
  6. Step 6: Final answer
    x = 17,733.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.