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Finding the Fourth Proportional to 14,182.56, 19,570.68 and 8,212.32

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Solution

The fourth proportional to 14,182.56, 19,570.68 and 8,212.32 is: 11,332.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.56 : 19,570.68 = 8,212.32 : x
  2. Step 2: Convert to fraction form
    14,182.56/19,570.68 = 8,212.32/x
  3. Step 3: Cross multiply
    14,182.56x = 19,570.68 × 8,212.32
  4. Step 4: Simplify right side
    14,182.56x = 160,720,686.78
  5. Step 5: Solve for x
    x = 160,720,686.78/14,182.56
  6. Step 6: Final answer
    x = 11,332.28

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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.