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Finding the Fourth Proportional to 12,935.79, 19,392.21 and 7,657.83

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Solution

The fourth proportional to 12,935.79, 19,392.21 and 7,657.83 is: 11,479.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,935.79 : 19,392.21 = 7,657.83 : x
  2. Step 2: Convert to fraction form
    12,935.79/19,392.21 = 7,657.83/x
  3. Step 3: Cross multiply
    12,935.79x = 19,392.21 × 7,657.83
  4. Step 4: Simplify right side
    12,935.79x = 148,502,247.50
  5. Step 5: Solve for x
    x = 148,502,247.50/12,935.79
  6. Step 6: Final answer
    x = 11,479.95

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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.