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Finding the Fourth Proportional to 21,059.83, 31,567.05 and 11,189.17

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Solution

The fourth proportional to 21,059.83, 31,567.05 and 11,189.17 is: 16,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,059.83 : 31,567.05 = 11,189.17 : x
  2. Step 2: Convert to fraction form
    21,059.83/31,567.05 = 11,189.17/x
  3. Step 3: Cross multiply
    21,059.83x = 31,567.05 × 11,189.17
  4. Step 4: Simplify right side
    21,059.83x = 353,209,088.85
  5. Step 5: Solve for x
    x = 353,209,088.85/21,059.83
  6. Step 6: Final answer
    x = 16,771.70

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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.