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Finding the Fourth Proportional to 14,123.77, 19,494.27 and 8,158.93

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Solution

The fourth proportional to 14,123.77, 19,494.27 and 8,158.93 is: 11,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.77 : 19,494.27 = 8,158.93 : x
  2. Step 2: Convert to fraction form
    14,123.77/19,494.27 = 8,158.93/x
  3. Step 3: Cross multiply
    14,123.77x = 19,494.27 × 8,158.93
  4. Step 4: Simplify right side
    14,123.77x = 159,052,335.60
  5. Step 5: Solve for x
    x = 159,052,335.60/14,123.77
  6. Step 6: Final answer
    x = 11,261.32

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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.