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Finding the Fourth Proportional to 15,684.56, 21,647.76 and 9,718.88

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Solution

The fourth proportional to 15,684.56, 21,647.76 and 9,718.88 is: 13,413.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684.56 : 21,647.76 = 9,718.88 : x
  2. Step 2: Convert to fraction form
    15,684.56/21,647.76 = 9,718.88/x
  3. Step 3: Cross multiply
    15,684.56x = 21,647.76 × 9,718.88
  4. Step 4: Simplify right side
    15,684.56x = 210,391,981.71
  5. Step 5: Solve for x
    x = 210,391,981.71/15,684.56
  6. Step 6: Final answer
    x = 13,413.95

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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.