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Finding the Fourth Proportional to 21,044.34, 31,561.98 and 7,897.68

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Solution

The fourth proportional to 21,044.34, 31,561.98 and 7,897.68 is: 11,844.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,044.34 : 31,561.98 = 7,897.68 : x
  2. Step 2: Convert to fraction form
    21,044.34/31,561.98 = 7,897.68/x
  3. Step 3: Cross multiply
    21,044.34x = 31,561.98 × 7,897.68
  4. Step 4: Simplify right side
    21,044.34x = 249,266,418.21
  5. Step 5: Solve for x
    x = 249,266,418.21/21,044.34
  6. Step 6: Final answer
    x = 11,844.82

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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.