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Finding the Fourth Proportional to 12,535.74, 18,804.53 and 4,215.72

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Solution

The fourth proportional to 12,535.74, 18,804.53 and 4,215.72 is: 6,323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.74 : 18,804.53 = 4,215.72 : x
  2. Step 2: Convert to fraction form
    12,535.74/18,804.53 = 4,215.72/x
  3. Step 3: Cross multiply
    12,535.74x = 18,804.53 × 4,215.72
  4. Step 4: Simplify right side
    12,535.74x = 79,274,643.75
  5. Step 5: Solve for x
    x = 79,274,643.75/12,535.74
  6. Step 6: Final answer
    x = 6,323.89

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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.