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Finding the Fourth Proportional to 13,873.62, 19,146.90 and 7,586.94

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Solution

The fourth proportional to 13,873.62, 19,146.90 and 7,586.94 is: 10,470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.62 : 19,146.90 = 7,586.94 : x
  2. Step 2: Convert to fraction form
    13,873.62/19,146.90 = 7,586.94/x
  3. Step 3: Cross multiply
    13,873.62x = 19,146.90 × 7,586.94
  4. Step 4: Simplify right side
    13,873.62x = 145,266,381.49
  5. Step 5: Solve for x
    x = 145,266,381.49/13,873.62
  6. Step 6: Final answer
    x = 10,470.69

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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.