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Finding the Fourth Proportional to 14,154.29, 19,532.44 and 7,866.53

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Solution

The fourth proportional to 14,154.29, 19,532.44 and 7,866.53 is: 10,855.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154.29 : 19,532.44 = 7,866.53 : x
  2. Step 2: Convert to fraction form
    14,154.29/19,532.44 = 7,866.53/x
  3. Step 3: Cross multiply
    14,154.29x = 19,532.44 × 7,866.53
  4. Step 4: Simplify right side
    14,154.29x = 153,652,525.23
  5. Step 5: Solve for x
    x = 153,652,525.23/14,154.29
  6. Step 6: Final answer
    x = 10,855.54

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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.