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Finding the Fourth Proportional to 16,970.77, 23,447.84 and 13,413.01

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Solution

The fourth proportional to 16,970.77, 23,447.84 and 13,413.01 is: 18,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,970.77 : 23,447.84 = 13,413.01 : x
  2. Step 2: Convert to fraction form
    16,970.77/23,447.84 = 13,413.01/x
  3. Step 3: Cross multiply
    16,970.77x = 23,447.84 × 13,413.01
  4. Step 4: Simplify right side
    16,970.77x = 314,506,112.40
  5. Step 5: Solve for x
    x = 314,506,112.40/16,970.77
  6. Step 6: Final answer
    x = 18,532.22

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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.