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Finding the Fourth Proportional to 21,267.66, 31,897.80 and 5,681.64

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Solution

The fourth proportional to 21,267.66, 31,897.80 and 5,681.64 is: 8,521.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,267.66 : 31,897.80 = 5,681.64 : x
  2. Step 2: Convert to fraction form
    21,267.66/31,897.80 = 5,681.64/x
  3. Step 3: Cross multiply
    21,267.66x = 31,897.80 × 5,681.64
  4. Step 4: Simplify right side
    21,267.66x = 181,231,816.39
  5. Step 5: Solve for x
    x = 181,231,816.39/21,267.66
  6. Step 6: Final answer
    x = 8,521.47

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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.