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Finding the Fourth Proportional to 12,814.38, 19,221.54 and 5,017.74

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Solution

The fourth proportional to 12,814.38, 19,221.54 and 5,017.74 is: 7,526.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.38 : 19,221.54 = 5,017.74 : x
  2. Step 2: Convert to fraction form
    12,814.38/19,221.54 = 5,017.74/x
  3. Step 3: Cross multiply
    12,814.38x = 19,221.54 × 5,017.74
  4. Step 4: Simplify right side
    12,814.38x = 96,448,690.12
  5. Step 5: Solve for x
    x = 96,448,690.12/12,814.38
  6. Step 6: Final answer
    x = 7,526.60

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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.