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Finding the Fourth Proportional to 14,675.40, 22,023.90 and 9,136.80

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Solution

The fourth proportional to 14,675.40, 22,023.90 and 9,136.80 is: 13,711.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,675.40 : 22,023.90 = 9,136.80 : x
  2. Step 2: Convert to fraction form
    14,675.40/22,023.90 = 9,136.80/x
  3. Step 3: Cross multiply
    14,675.40x = 22,023.90 × 9,136.80
  4. Step 4: Simplify right side
    14,675.40x = 201,227,969.52
  5. Step 5: Solve for x
    x = 201,227,969.52/14,675.40
  6. Step 6: Final answer
    x = 13,711.92

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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.