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Finding the Fourth Proportional to 12,302.16, 18,413.10 and 9,364.26

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Solution

The fourth proportional to 12,302.16, 18,413.10 and 9,364.26 is: 14,015.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.16 : 18,413.10 = 9,364.26 : x
  2. Step 2: Convert to fraction form
    12,302.16/18,413.10 = 9,364.26/x
  3. Step 3: Cross multiply
    12,302.16x = 18,413.10 × 9,364.26
  4. Step 4: Simplify right side
    12,302.16x = 172,425,055.81
  5. Step 5: Solve for x
    x = 172,425,055.81/12,302.16
  6. Step 6: Final answer
    x = 14,015.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.