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Finding the Fourth Proportional to 12,898.57, 19,344.72 and 9,429.45

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Solution

The fourth proportional to 12,898.57, 19,344.72 and 9,429.45 is: 14,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,898.57 : 19,344.72 = 9,429.45 : x
  2. Step 2: Convert to fraction form
    12,898.57/19,344.72 = 9,429.45/x
  3. Step 3: Cross multiply
    12,898.57x = 19,344.72 × 9,429.45
  4. Step 4: Simplify right side
    12,898.57x = 182,410,070.00
  5. Step 5: Solve for x
    x = 182,410,070.00/12,898.57
  6. Step 6: Final answer
    x = 14,141.88

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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.