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Finding the Fourth Proportional to 21,098.58, 31,663.44 and 10,005.30

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Solution

The fourth proportional to 21,098.58, 31,663.44 and 10,005.30 is: 15,015.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,098.58 : 31,663.44 = 10,005.30 : x
  2. Step 2: Convert to fraction form
    21,098.58/31,663.44 = 10,005.30/x
  3. Step 3: Cross multiply
    21,098.58x = 31,663.44 × 10,005.30
  4. Step 4: Simplify right side
    21,098.58x = 316,802,216.23
  5. Step 5: Solve for x
    x = 316,802,216.23/21,098.58
  6. Step 6: Final answer
    x = 15,015.33

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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.