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Finding the Fourth Proportional to 12,953.36, 19,417.71 and 8,260.19

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Solution

The fourth proportional to 12,953.36, 19,417.71 and 8,260.19 is: 12,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.36 : 19,417.71 = 8,260.19 : x
  2. Step 2: Convert to fraction form
    12,953.36/19,417.71 = 8,260.19/x
  3. Step 3: Cross multiply
    12,953.36x = 19,417.71 × 8,260.19
  4. Step 4: Simplify right side
    12,953.36x = 160,393,973.96
  5. Step 5: Solve for x
    x = 160,393,973.96/12,953.36
  6. Step 6: Final answer
    x = 12,382.42

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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.