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Finding the Fourth Proportional to 12,894.16, 19,323.96 and 5,953.36

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Solution

The fourth proportional to 12,894.16, 19,323.96 and 5,953.36 is: 8,922.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.16 : 19,323.96 = 5,953.36 : x
  2. Step 2: Convert to fraction form
    12,894.16/19,323.96 = 5,953.36/x
  3. Step 3: Cross multiply
    12,894.16x = 19,323.96 × 5,953.36
  4. Step 4: Simplify right side
    12,894.16x = 115,042,490.51
  5. Step 5: Solve for x
    x = 115,042,490.51/12,894.16
  6. Step 6: Final answer
    x = 8,922.06

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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.