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Finding the Fourth Proportional to 12,953.69, 19,425.67 and 4,186.25

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Solution

The fourth proportional to 12,953.69, 19,425.67 and 4,186.25 is: 6,277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.69 : 19,425.67 = 4,186.25 : x
  2. Step 2: Convert to fraction form
    12,953.69/19,425.67 = 4,186.25/x
  3. Step 3: Cross multiply
    12,953.69x = 19,425.67 × 4,186.25
  4. Step 4: Simplify right side
    12,953.69x = 81,320,711.04
  5. Step 5: Solve for x
    x = 81,320,711.04/12,953.69
  6. Step 6: Final answer
    x = 6,277.80

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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.