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Finding the Fourth Proportional to 12,857.85, 19,283.40 and 5,458.50

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Solution

The fourth proportional to 12,857.85, 19,283.40 and 5,458.50 is: 8,186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.85 : 19,283.40 = 5,458.50 : x
  2. Step 2: Convert to fraction form
    12,857.85/19,283.40 = 5,458.50/x
  3. Step 3: Cross multiply
    12,857.85x = 19,283.40 × 5,458.50
  4. Step 4: Simplify right side
    12,857.85x = 105,258,438.90
  5. Step 5: Solve for x
    x = 105,258,438.90/12,857.85
  6. Step 6: Final answer
    x = 8,186.32

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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.