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Finding the Fourth Proportional to 26,362, 39,532.02 and 9,722.98

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Solution

The fourth proportional to 26,362, 39,532.02 and 9,722.98 is: 14,580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,362 : 39,532.02 = 9,722.98 : x
  2. Step 2: Convert to fraction form
    26,362/39,532.02 = 9,722.98/x
  3. Step 3: Cross multiply
    26,362x = 39,532.02 × 9,722.98
  4. Step 4: Simplify right side
    26,362x = 384,369,039.82
  5. Step 5: Solve for x
    x = 384,369,039.82/26,362
  6. Step 6: Final answer
    x = 14,580.42

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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.