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Finding the Fourth Proportional to 12,535.70, 18,804.50 and 4,215.74

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Solution

The fourth proportional to 12,535.70, 18,804.50 and 4,215.74 is: 6,323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.70 : 18,804.50 = 4,215.74 : x
  2. Step 2: Convert to fraction form
    12,535.70/18,804.50 = 4,215.74/x
  3. Step 3: Cross multiply
    12,535.70x = 18,804.50 × 4,215.74
  4. Step 4: Simplify right side
    12,535.70x = 79,274,924.57
  5. Step 5: Solve for x
    x = 79,274,924.57/12,535.70
  6. Step 6: Final answer
    x = 6,323.93

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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.