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Finding the Fourth Proportional to 10,171.84, 14,026.44 and 7,524.76

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Solution

The fourth proportional to 10,171.84, 14,026.44 and 7,524.76 is: 10,376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.84 : 14,026.44 = 7,524.76 : x
  2. Step 2: Convert to fraction form
    10,171.84/14,026.44 = 7,524.76/x
  3. Step 3: Cross multiply
    10,171.84x = 14,026.44 × 7,524.76
  4. Step 4: Simplify right side
    10,171.84x = 105,545,594.65
  5. Step 5: Solve for x
    x = 105,545,594.65/10,171.84
  6. Step 6: Final answer
    x = 10,376.25

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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.