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Finding the Fourth Proportional to 14,347.74, 19,798.80 and 8,378.66

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Solution

The fourth proportional to 14,347.74, 19,798.80 and 8,378.66 is: 11,561.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,347.74 : 19,798.80 = 8,378.66 : x
  2. Step 2: Convert to fraction form
    14,347.74/19,798.80 = 8,378.66/x
  3. Step 3: Cross multiply
    14,347.74x = 19,798.80 × 8,378.66
  4. Step 4: Simplify right side
    14,347.74x = 165,887,413.61
  5. Step 5: Solve for x
    x = 165,887,413.61/14,347.74
  6. Step 6: Final answer
    x = 11,561.92

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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.