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Finding the Fourth Proportional to 14,216.06, 19,618.22 and 7,842.86

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Solution

The fourth proportional to 14,216.06, 19,618.22 and 7,842.86 is: 10,823.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216.06 : 19,618.22 = 7,842.86 : x
  2. Step 2: Convert to fraction form
    14,216.06/19,618.22 = 7,842.86/x
  3. Step 3: Cross multiply
    14,216.06x = 19,618.22 × 7,842.86
  4. Step 4: Simplify right side
    14,216.06x = 153,862,952.91
  5. Step 5: Solve for x
    x = 153,862,952.91/14,216.06
  6. Step 6: Final answer
    x = 10,823.18

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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.