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Finding the Fourth Proportional to 12,854.30, 17,738.81 and 7,188.98

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Solution

The fourth proportional to 12,854.30, 17,738.81 and 7,188.98 is: 9,920.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.30 : 17,738.81 = 7,188.98 : x
  2. Step 2: Convert to fraction form
    12,854.30/17,738.81 = 7,188.98/x
  3. Step 3: Cross multiply
    12,854.30x = 17,738.81 × 7,188.98
  4. Step 4: Simplify right side
    12,854.30x = 127,523,950.31
  5. Step 5: Solve for x
    x = 127,523,950.31/12,854.30
  6. Step 6: Final answer
    x = 9,920.72

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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.