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Finding the Fourth Proportional to 14,130.96, 19,499.64 and 8,158.64

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Solution

The fourth proportional to 14,130.96, 19,499.64 and 8,158.64 is: 11,258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130.96 : 19,499.64 = 8,158.64 : x
  2. Step 2: Convert to fraction form
    14,130.96/19,499.64 = 8,158.64/x
  3. Step 3: Cross multiply
    14,130.96x = 19,499.64 × 8,158.64
  4. Step 4: Simplify right side
    14,130.96x = 159,090,542.89
  5. Step 5: Solve for x
    x = 159,090,542.89/14,130.96
  6. Step 6: Final answer
    x = 11,258.30

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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.