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Finding the Fourth Proportional to 14,382.95, 19,842.62 and 9,074.66

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Solution

The fourth proportional to 14,382.95, 19,842.62 and 9,074.66 is: 12,519.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.95 : 19,842.62 = 9,074.66 : x
  2. Step 2: Convert to fraction form
    14,382.95/19,842.62 = 9,074.66/x
  3. Step 3: Cross multiply
    14,382.95x = 19,842.62 × 9,074.66
  4. Step 4: Simplify right side
    14,382.95x = 180,064,885.42
  5. Step 5: Solve for x
    x = 180,064,885.42/14,382.95
  6. Step 6: Final answer
    x = 12,519.33

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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.