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Finding the Fourth Proportional to 15,147.76, 20,903.42 and 8,433.16

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Solution

The fourth proportional to 15,147.76, 20,903.42 and 8,433.16 is: 11,637.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,147.76 : 20,903.42 = 8,433.16 : x
  2. Step 2: Convert to fraction form
    15,147.76/20,903.42 = 8,433.16/x
  3. Step 3: Cross multiply
    15,147.76x = 20,903.42 × 8,433.16
  4. Step 4: Simplify right side
    15,147.76x = 176,281,885.41
  5. Step 5: Solve for x
    x = 176,281,885.41/15,147.76
  6. Step 6: Final answer
    x = 11,637.49

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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.