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Finding the Fourth Proportional to 16,400.09, 24,600.14 and 7,034.06

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Solution

The fourth proportional to 16,400.09, 24,600.14 and 7,034.06 is: 10,551.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.09 : 24,600.14 = 7,034.06 : x
  2. Step 2: Convert to fraction form
    16,400.09/24,600.14 = 7,034.06/x
  3. Step 3: Cross multiply
    16,400.09x = 24,600.14 × 7,034.06
  4. Step 4: Simplify right side
    16,400.09x = 173,038,860.77
  5. Step 5: Solve for x
    x = 173,038,860.77/16,400.09
  6. Step 6: Final answer
    x = 10,551.09

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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.