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Finding the Fourth Proportional to 14,097.46, 21,127.74 and 5,767.98

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Solution

The fourth proportional to 14,097.46, 21,127.74 and 5,767.98 is: 8,644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.46 : 21,127.74 = 5,767.98 : x
  2. Step 2: Convert to fraction form
    14,097.46/21,127.74 = 5,767.98/x
  3. Step 3: Cross multiply
    14,097.46x = 21,127.74 × 5,767.98
  4. Step 4: Simplify right side
    14,097.46x = 121,864,381.77
  5. Step 5: Solve for x
    x = 121,864,381.77/14,097.46
  6. Step 6: Final answer
    x = 8,644.42

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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.