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Finding the Fourth Proportional to 15,206.40, 22,809.60 and 13,305.60

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Solution

The fourth proportional to 15,206.40, 22,809.60 and 13,305.60 is: 19,958.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,206.40 : 22,809.60 = 13,305.60 : x
  2. Step 2: Convert to fraction form
    15,206.40/22,809.60 = 13,305.60/x
  3. Step 3: Cross multiply
    15,206.40x = 22,809.60 × 13,305.60
  4. Step 4: Simplify right side
    15,206.40x = 303,495,413.76
  5. Step 5: Solve for x
    x = 303,495,413.76/15,206.40
  6. Step 6: Final answer
    x = 19,958.40

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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.