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Finding the Fourth Proportional to 14,336.45, 19,784.00 and 8,048.82

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Solution

The fourth proportional to 14,336.45, 19,784.00 and 8,048.82 is: 11,107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,336.45 : 19,784.00 = 8,048.82 : x
  2. Step 2: Convert to fraction form
    14,336.45/19,784.00 = 8,048.82/x
  3. Step 3: Cross multiply
    14,336.45x = 19,784.00 × 8,048.82
  4. Step 4: Simplify right side
    14,336.45x = 159,237,875.00
  5. Step 5: Solve for x
    x = 159,237,875.00/14,336.45
  6. Step 6: Final answer
    x = 11,107.21

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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.