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Finding the Fourth Proportional to 12,957.51, 19,445.99 and 9,208.83

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Solution

The fourth proportional to 12,957.51, 19,445.99 and 9,208.83 is: 13,820.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.51 : 19,445.99 = 9,208.83 : x
  2. Step 2: Convert to fraction form
    12,957.51/19,445.99 = 9,208.83/x
  3. Step 3: Cross multiply
    12,957.51x = 19,445.99 × 9,208.83
  4. Step 4: Simplify right side
    12,957.51x = 179,074,770.05
  5. Step 5: Solve for x
    x = 179,074,770.05/12,957.51
  6. Step 6: Final answer
    x = 13,820.15

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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.