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Finding the Fourth Proportional to 21,038.10, 31,557.33 and 9,945.06

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Solution

The fourth proportional to 21,038.10, 31,557.33 and 9,945.06 is: 14,917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,038.10 : 31,557.33 = 9,945.06 : x
  2. Step 2: Convert to fraction form
    21,038.10/31,557.33 = 9,945.06/x
  3. Step 3: Cross multiply
    21,038.10x = 31,557.33 × 9,945.06
  4. Step 4: Simplify right side
    21,038.10x = 313,839,540.29
  5. Step 5: Solve for x
    x = 313,839,540.29/21,038.10
  6. Step 6: Final answer
    x = 14,917.68

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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.