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Finding the Fourth Proportional to 14,157.69, 19,537.19 and 7,784.27

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Solution

The fourth proportional to 14,157.69, 19,537.19 and 7,784.27 is: 10,742.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.69 : 19,537.19 = 7,784.27 : x
  2. Step 2: Convert to fraction form
    14,157.69/19,537.19 = 7,784.27/x
  3. Step 3: Cross multiply
    14,157.69x = 19,537.19 × 7,784.27
  4. Step 4: Simplify right side
    14,157.69x = 152,082,762.00
  5. Step 5: Solve for x
    x = 152,082,762.00/14,157.69
  6. Step 6: Final answer
    x = 10,742.06

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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.