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Finding the Fourth Proportional to 14,440.76, 19,920.86 and 9,413.40

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Solution

The fourth proportional to 14,440.76, 19,920.86 and 9,413.40 is: 12,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,440.76 : 19,920.86 = 9,413.40 : x
  2. Step 2: Convert to fraction form
    14,440.76/19,920.86 = 9,413.40/x
  3. Step 3: Cross multiply
    14,440.76x = 19,920.86 × 9,413.40
  4. Step 4: Simplify right side
    14,440.76x = 187,523,023.52
  5. Step 5: Solve for x
    x = 187,523,023.52/14,440.76
  6. Step 6: Final answer
    x = 12,985.68

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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.