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Finding the Fourth Proportional to 13,862.90, 19,130.79 and 7,575.27

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Solution

The fourth proportional to 13,862.90, 19,130.79 and 7,575.27 is: 10,453.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.90 : 19,130.79 = 7,575.27 : x
  2. Step 2: Convert to fraction form
    13,862.90/19,130.79 = 7,575.27/x
  3. Step 3: Cross multiply
    13,862.90x = 19,130.79 × 7,575.27
  4. Step 4: Simplify right side
    13,862.90x = 144,920,861.69
  5. Step 5: Solve for x
    x = 144,920,861.69/13,862.90
  6. Step 6: Final answer
    x = 10,453.87

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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.