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Finding the Fourth Proportional to 14,182.77, 19,570.80 and 8,216.40

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Solution

The fourth proportional to 14,182.77, 19,570.80 and 8,216.40 is: 11,337.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.77 : 19,570.80 = 8,216.40 : x
  2. Step 2: Convert to fraction form
    14,182.77/19,570.80 = 8,216.40/x
  3. Step 3: Cross multiply
    14,182.77x = 19,570.80 × 8,216.40
  4. Step 4: Simplify right side
    14,182.77x = 160,801,521.12
  5. Step 5: Solve for x
    x = 160,801,521.12/14,182.77
  6. Step 6: Final answer
    x = 11,337.81

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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.