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Finding the Fourth Proportional to 21,001.22, 31,501.82 and 5,417.63

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Solution

The fourth proportional to 21,001.22, 31,501.82 and 5,417.63 is: 8,126.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,001.22 : 31,501.82 = 5,417.63 : x
  2. Step 2: Convert to fraction form
    21,001.22/31,501.82 = 5,417.63/x
  3. Step 3: Cross multiply
    21,001.22x = 31,501.82 × 5,417.63
  4. Step 4: Simplify right side
    21,001.22x = 170,665,061.12
  5. Step 5: Solve for x
    x = 170,665,061.12/21,001.22
  6. Step 6: Final answer
    x = 8,126.44

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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.