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Finding the Fourth Proportional to 14,755.34, 20,364.54 and 9,718.76

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Solution

The fourth proportional to 14,755.34, 20,364.54 and 9,718.76 is: 13,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,755.34 : 20,364.54 = 9,718.76 : x
  2. Step 2: Convert to fraction form
    14,755.34/20,364.54 = 9,718.76/x
  3. Step 3: Cross multiply
    14,755.34x = 20,364.54 × 9,718.76
  4. Step 4: Simplify right side
    14,755.34x = 197,918,076.77
  5. Step 5: Solve for x
    x = 197,918,076.77/14,755.34
  6. Step 6: Final answer
    x = 13,413.32

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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.