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Finding the Fourth Proportional to 12,835, 19,196.91 and 7,557.43

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Solution

The fourth proportional to 12,835, 19,196.91 and 7,557.43 is: 11,303.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835 : 19,196.91 = 7,557.43 : x
  2. Step 2: Convert to fraction form
    12,835/19,196.91 = 7,557.43/x
  3. Step 3: Cross multiply
    12,835x = 19,196.91 × 7,557.43
  4. Step 4: Simplify right side
    12,835x = 145,079,303.54
  5. Step 5: Solve for x
    x = 145,079,303.54/12,835
  6. Step 6: Final answer
    x = 11,303.41

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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.