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Finding the Fourth Proportional to 14,608.14, 20,156.22 and 9,301.02

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Solution

The fourth proportional to 14,608.14, 20,156.22 and 9,301.02 is: 12,833.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,608.14 : 20,156.22 = 9,301.02 : x
  2. Step 2: Convert to fraction form
    14,608.14/20,156.22 = 9,301.02/x
  3. Step 3: Cross multiply
    14,608.14x = 20,156.22 × 9,301.02
  4. Step 4: Simplify right side
    14,608.14x = 187,473,405.34
  5. Step 5: Solve for x
    x = 187,473,405.34/14,608.14
  6. Step 6: Final answer
    x = 12,833.49

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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.