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Finding the Fourth Proportional to 12,857.99, 19,271.09 and 7,587.66

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Solution

The fourth proportional to 12,857.99, 19,271.09 and 7,587.66 is: 11,372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.99 : 19,271.09 = 7,587.66 : x
  2. Step 2: Convert to fraction form
    12,857.99/19,271.09 = 7,587.66/x
  3. Step 3: Cross multiply
    12,857.99x = 19,271.09 × 7,587.66
  4. Step 4: Simplify right side
    12,857.99x = 146,222,440.81
  5. Step 5: Solve for x
    x = 146,222,440.81/12,857.99
  6. Step 6: Final answer
    x = 11,372.11

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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.