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Finding the Fourth Proportional to 14,122.16, 19,482.74 and 8,149.59

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Solution

The fourth proportional to 14,122.16, 19,482.74 and 8,149.59 is: 11,243.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.16 : 19,482.74 = 8,149.59 : x
  2. Step 2: Convert to fraction form
    14,122.16/19,482.74 = 8,149.59/x
  3. Step 3: Cross multiply
    14,122.16x = 19,482.74 × 8,149.59
  4. Step 4: Simplify right side
    14,122.16x = 158,776,332.89
  5. Step 5: Solve for x
    x = 158,776,332.89/14,122.16
  6. Step 6: Final answer
    x = 11,243.06

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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.