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Finding the Fourth Proportional to 14,630.40, 21,945.60 and 10,742.40

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Solution

The fourth proportional to 14,630.40, 21,945.60 and 10,742.40 is: 16,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,630.40 : 21,945.60 = 10,742.40 : x
  2. Step 2: Convert to fraction form
    14,630.40/21,945.60 = 10,742.40/x
  3. Step 3: Cross multiply
    14,630.40x = 21,945.60 × 10,742.40
  4. Step 4: Simplify right side
    14,630.40x = 235,748,413.44
  5. Step 5: Solve for x
    x = 235,748,413.44/14,630.40
  6. Step 6: Final answer
    x = 16,113.60

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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.