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Finding the Fourth Proportional to 14,157.96, 19,519.62 and 9,113.16

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Solution

The fourth proportional to 14,157.96, 19,519.62 and 9,113.16 is: 12,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.96 : 19,519.62 = 9,113.16 : x
  2. Step 2: Convert to fraction form
    14,157.96/19,519.62 = 9,113.16/x
  3. Step 3: Cross multiply
    14,157.96x = 19,519.62 × 9,113.16
  4. Step 4: Simplify right side
    14,157.96x = 177,885,420.20
  5. Step 5: Solve for x
    x = 177,885,420.20/14,157.96
  6. Step 6: Final answer
    x = 12,564.34

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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.