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Finding the Fourth Proportional to 12,957.93, 19,431.66 and 5,059.32

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Solution

The fourth proportional to 12,957.93, 19,431.66 and 5,059.32 is: 7,586.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.93 : 19,431.66 = 5,059.32 : x
  2. Step 2: Convert to fraction form
    12,957.93/19,431.66 = 5,059.32/x
  3. Step 3: Cross multiply
    12,957.93x = 19,431.66 × 5,059.32
  4. Step 4: Simplify right side
    12,957.93x = 98,310,932.17
  5. Step 5: Solve for x
    x = 98,310,932.17/12,957.93
  6. Step 6: Final answer
    x = 7,586.93

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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.