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Finding the Fourth Proportional to 10,019.60, 15,029.40 and 8,464.40

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Solution

The fourth proportional to 10,019.60, 15,029.40 and 8,464.40 is: 12,696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.60 : 15,029.40 = 8,464.40 : x
  2. Step 2: Convert to fraction form
    10,019.60/15,029.40 = 8,464.40/x
  3. Step 3: Cross multiply
    10,019.60x = 15,029.40 × 8,464.40
  4. Step 4: Simplify right side
    10,019.60x = 127,214,853.36
  5. Step 5: Solve for x
    x = 127,214,853.36/10,019.60
  6. Step 6: Final answer
    x = 12,696.60

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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.