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Finding the Fourth Proportional to 8,670.14, 13,004.40 and 2,429.60

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Solution

The fourth proportional to 8,670.14, 13,004.40 and 2,429.60 is: 3,644.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.14 : 13,004.40 = 2,429.60 : x
  2. Step 2: Convert to fraction form
    8,670.14/13,004.40 = 2,429.60/x
  3. Step 3: Cross multiply
    8,670.14x = 13,004.40 × 2,429.60
  4. Step 4: Simplify right side
    8,670.14x = 31,595,490.24
  5. Step 5: Solve for x
    x = 31,595,490.24/8,670.14
  6. Step 6: Final answer
    x = 3,644.17

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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.