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Finding the Fourth Proportional to 14,646.16, 20,211.52 and 7,931.60

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Solution

The fourth proportional to 14,646.16, 20,211.52 and 7,931.60 is: 10,945.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.16 : 20,211.52 = 7,931.60 : x
  2. Step 2: Convert to fraction form
    14,646.16/20,211.52 = 7,931.60/x
  3. Step 3: Cross multiply
    14,646.16x = 20,211.52 × 7,931.60
  4. Step 4: Simplify right side
    14,646.16x = 160,309,692.03
  5. Step 5: Solve for x
    x = 160,309,692.03/14,646.16
  6. Step 6: Final answer
    x = 10,945.51

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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.