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Finding the Fourth Proportional to 21,123.16, 31,681.86 and 5,539.48

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Solution

The fourth proportional to 21,123.16, 31,681.86 and 5,539.48 is: 8,308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,123.16 : 31,681.86 = 5,539.48 : x
  2. Step 2: Convert to fraction form
    21,123.16/31,681.86 = 5,539.48/x
  3. Step 3: Cross multiply
    21,123.16x = 31,681.86 × 5,539.48
  4. Step 4: Simplify right side
    21,123.16x = 175,501,029.83
  5. Step 5: Solve for x
    x = 175,501,029.83/21,123.16
  6. Step 6: Final answer
    x = 8,308.46

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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.