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Finding the Fourth Proportional to 21,199.08, 31,801.50 and 7,349.16

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Solution

The fourth proportional to 21,199.08, 31,801.50 and 7,349.16 is: 11,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,199.08 : 31,801.50 = 7,349.16 : x
  2. Step 2: Convert to fraction form
    21,199.08/31,801.50 = 7,349.16/x
  3. Step 3: Cross multiply
    21,199.08x = 31,801.50 × 7,349.16
  4. Step 4: Simplify right side
    21,199.08x = 233,714,311.74
  5. Step 5: Solve for x
    x = 233,714,311.74/21,199.08
  6. Step 6: Final answer
    x = 11,024.74

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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.