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Finding the Fourth Proportional to 14,368.26, 19,828.08 and 8,080.50

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Solution

The fourth proportional to 14,368.26, 19,828.08 and 8,080.50 is: 11,151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,368.26 : 19,828.08 = 8,080.50 : x
  2. Step 2: Convert to fraction form
    14,368.26/19,828.08 = 8,080.50/x
  3. Step 3: Cross multiply
    14,368.26x = 19,828.08 × 8,080.50
  4. Step 4: Simplify right side
    14,368.26x = 160,220,800.44
  5. Step 5: Solve for x
    x = 160,220,800.44/14,368.26
  6. Step 6: Final answer
    x = 11,151.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.