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Finding the Fourth Proportional to 14,134.83, 19,503.55 and 8,164.32

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Solution

The fourth proportional to 14,134.83, 19,503.55 and 8,164.32 is: 11,265.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.83 : 19,503.55 = 8,164.32 : x
  2. Step 2: Convert to fraction form
    14,134.83/19,503.55 = 8,164.32/x
  3. Step 3: Cross multiply
    14,134.83x = 19,503.55 × 8,164.32
  4. Step 4: Simplify right side
    14,134.83x = 159,233,223.34
  5. Step 5: Solve for x
    x = 159,233,223.34/14,134.83
  6. Step 6: Final answer
    x = 11,265.31

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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.