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Finding the Fourth Proportional to 14,129.01, 19,494.77 and 8,159.58

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Solution

The fourth proportional to 14,129.01, 19,494.77 and 8,159.58 is: 11,258.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.01 : 19,494.77 = 8,159.58 : x
  2. Step 2: Convert to fraction form
    14,129.01/19,494.77 = 8,159.58/x
  3. Step 3: Cross multiply
    14,129.01x = 19,494.77 × 8,159.58
  4. Step 4: Simplify right side
    14,129.01x = 159,069,094.60
  5. Step 5: Solve for x
    x = 159,069,094.60/14,129.01
  6. Step 6: Final answer
    x = 11,258.33

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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.