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Finding the Fourth Proportional to 21,184.08, 31,779 and 7,334.16

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Solution

The fourth proportional to 21,184.08, 31,779 and 7,334.16 is: 11,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,184.08 : 31,779 = 7,334.16 : x
  2. Step 2: Convert to fraction form
    21,184.08/31,779 = 7,334.16/x
  3. Step 3: Cross multiply
    21,184.08x = 31,779 × 7,334.16
  4. Step 4: Simplify right side
    21,184.08x = 233,072,270.64
  5. Step 5: Solve for x
    x = 233,072,270.64/21,184.08
  6. Step 6: Final answer
    x = 11,002.24

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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.