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Finding the Fourth Proportional to 14,182.57, 19,571.18 and 7,807.92

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Solution

The fourth proportional to 14,182.57, 19,571.18 and 7,807.92 is: 10,774.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.57 : 19,571.18 = 7,807.92 : x
  2. Step 2: Convert to fraction form
    14,182.57/19,571.18 = 7,807.92/x
  3. Step 3: Cross multiply
    14,182.57x = 19,571.18 × 7,807.92
  4. Step 4: Simplify right side
    14,182.57x = 152,810,207.75
  5. Step 5: Solve for x
    x = 152,810,207.75/14,182.57
  6. Step 6: Final answer
    x = 10,774.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.