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Finding the Fourth Proportional to 21,023.69, 31,543.13 and 10,492.88

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Solution

The fourth proportional to 21,023.69, 31,543.13 and 10,492.88 is: 15,743.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,023.69 : 31,543.13 = 10,492.88 : x
  2. Step 2: Convert to fraction form
    21,023.69/31,543.13 = 10,492.88/x
  3. Step 3: Cross multiply
    21,023.69x = 31,543.13 × 10,492.88
  4. Step 4: Simplify right side
    21,023.69x = 330,978,383.00
  5. Step 5: Solve for x
    x = 330,978,383.00/21,023.69
  6. Step 6: Final answer
    x = 15,743.11

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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.