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Finding the Fourth Proportional to 21,038.70, 31,550.18 and 9,029.34

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Solution

The fourth proportional to 21,038.70, 31,550.18 and 9,029.34 is: 13,540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,038.70 : 31,550.18 = 9,029.34 : x
  2. Step 2: Convert to fraction form
    21,038.70/31,550.18 = 9,029.34/x
  3. Step 3: Cross multiply
    21,038.70x = 31,550.18 × 9,029.34
  4. Step 4: Simplify right side
    21,038.70x = 284,877,138.82
  5. Step 5: Solve for x
    x = 284,877,138.82/21,038.70
  6. Step 6: Final answer
    x = 13,540.62

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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.