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Finding the Fourth Proportional to 12,864.16, 19,392.66 and 12,006.88

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Solution

The fourth proportional to 12,864.16, 19,392.66 and 12,006.88 is: 18,100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864.16 : 19,392.66 = 12,006.88 : x
  2. Step 2: Convert to fraction form
    12,864.16/19,392.66 = 12,006.88/x
  3. Step 3: Cross multiply
    12,864.16x = 19,392.66 × 12,006.88
  4. Step 4: Simplify right side
    12,864.16x = 232,845,341.50
  5. Step 5: Solve for x
    x = 232,845,341.50/12,864.16
  6. Step 6: Final answer
    x = 18,100.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.