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Finding the Fourth Proportional to 13,857.32, 19,123.12 and 7,888.98

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Solution

The fourth proportional to 13,857.32, 19,123.12 and 7,888.98 is: 10,886.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.32 : 19,123.12 = 7,888.98 : x
  2. Step 2: Convert to fraction form
    13,857.32/19,123.12 = 7,888.98/x
  3. Step 3: Cross multiply
    13,857.32x = 19,123.12 × 7,888.98
  4. Step 4: Simplify right side
    13,857.32x = 150,861,911.22
  5. Step 5: Solve for x
    x = 150,861,911.22/13,857.32
  6. Step 6: Final answer
    x = 10,886.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.