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Finding the Fourth Proportional to 14,369.43, 19,829.50 and 8,319.93

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Solution

The fourth proportional to 14,369.43, 19,829.50 and 8,319.93 is: 11,481.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,369.43 : 19,829.50 = 8,319.93 : x
  2. Step 2: Convert to fraction form
    14,369.43/19,829.50 = 8,319.93/x
  3. Step 3: Cross multiply
    14,369.43x = 19,829.50 × 8,319.93
  4. Step 4: Simplify right side
    14,369.43x = 164,980,051.94
  5. Step 5: Solve for x
    x = 164,980,051.94/14,369.43
  6. Step 6: Final answer
    x = 11,481.32

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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.