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Finding the Fourth Proportional to 12,857.40, 19,271.70 and 5,460.60

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Solution

The fourth proportional to 12,857.40, 19,271.70 and 5,460.60 is: 8,184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.40 : 19,271.70 = 5,460.60 : x
  2. Step 2: Convert to fraction form
    12,857.40/19,271.70 = 5,460.60/x
  3. Step 3: Cross multiply
    12,857.40x = 19,271.70 × 5,460.60
  4. Step 4: Simplify right side
    12,857.40x = 105,235,045.02
  5. Step 5: Solve for x
    x = 105,235,045.02/12,857.40
  6. Step 6: Final answer
    x = 8,184.78

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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.