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Finding the Fourth Proportional to 14,077.17, 19,423.22 and 8,413.75

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Solution

The fourth proportional to 14,077.17, 19,423.22 and 8,413.75 is: 11,609.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077.17 : 19,423.22 = 8,413.75 : x
  2. Step 2: Convert to fraction form
    14,077.17/19,423.22 = 8,413.75/x
  3. Step 3: Cross multiply
    14,077.17x = 19,423.22 × 8,413.75
  4. Step 4: Simplify right side
    14,077.17x = 163,422,089.75
  5. Step 5: Solve for x
    x = 163,422,089.75/14,077.17
  6. Step 6: Final answer
    x = 11,609.02

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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.