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Finding the Fourth Proportional to 21,278.16, 31,897.38 and 7,228.58

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Solution

The fourth proportional to 21,278.16, 31,897.38 and 7,228.58 is: 10,836.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,278.16 : 31,897.38 = 7,228.58 : x
  2. Step 2: Convert to fraction form
    21,278.16/31,897.38 = 7,228.58/x
  3. Step 3: Cross multiply
    21,278.16x = 31,897.38 × 7,228.58
  4. Step 4: Simplify right side
    21,278.16x = 230,572,603.63
  5. Step 5: Solve for x
    x = 230,572,603.63/21,278.16
  6. Step 6: Final answer
    x = 10,836.12

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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.