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Finding the Fourth Proportional to 19,513.32, 29,212.84 and 12,095.40

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Solution

The fourth proportional to 19,513.32, 29,212.84 and 12,095.40 is: 18,107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,513.32 : 29,212.84 = 12,095.40 : x
  2. Step 2: Convert to fraction form
    19,513.32/29,212.84 = 12,095.40/x
  3. Step 3: Cross multiply
    19,513.32x = 29,212.84 × 12,095.40
  4. Step 4: Simplify right side
    19,513.32x = 353,340,984.94
  5. Step 5: Solve for x
    x = 353,340,984.94/19,513.32
  6. Step 6: Final answer
    x = 18,107.68

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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.