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Finding the Fourth Proportional to 14,102.50, 19,463.70 and 8,516.74

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Solution

The fourth proportional to 14,102.50, 19,463.70 and 8,516.74 is: 11,754.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.50 : 19,463.70 = 8,516.74 : x
  2. Step 2: Convert to fraction form
    14,102.50/19,463.70 = 8,516.74/x
  3. Step 3: Cross multiply
    14,102.50x = 19,463.70 × 8,516.74
  4. Step 4: Simplify right side
    14,102.50x = 165,767,272.34
  5. Step 5: Solve for x
    x = 165,767,272.34/14,102.50
  6. Step 6: Final answer
    x = 11,754.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.