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Finding the Fourth Proportional to 21,046.40, 31,568.36 and 7,897.66

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Solution

The fourth proportional to 21,046.40, 31,568.36 and 7,897.66 is: 11,846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,046.40 : 31,568.36 = 7,897.66 : x
  2. Step 2: Convert to fraction form
    21,046.40/31,568.36 = 7,897.66/x
  3. Step 3: Cross multiply
    21,046.40x = 31,568.36 × 7,897.66
  4. Step 4: Simplify right side
    21,046.40x = 249,316,174.04
  5. Step 5: Solve for x
    x = 249,316,174.04/21,046.40
  6. Step 6: Final answer
    x = 11,846.02

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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.