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Finding the Fourth Proportional to 16,026.50, 24,013.74 and 9,767.51

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Solution

The fourth proportional to 16,026.50, 24,013.74 and 9,767.51 is: 14,635.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,026.50 : 24,013.74 = 9,767.51 : x
  2. Step 2: Convert to fraction form
    16,026.50/24,013.74 = 9,767.51/x
  3. Step 3: Cross multiply
    16,026.50x = 24,013.74 × 9,767.51
  4. Step 4: Simplify right side
    16,026.50x = 234,554,325.52
  5. Step 5: Solve for x
    x = 234,554,325.52/16,026.50
  6. Step 6: Final answer
    x = 14,635.41

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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.