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Finding the Fourth Proportional to 14,077, 19,426.98 and 8,488.36

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Solution

The fourth proportional to 14,077, 19,426.98 and 8,488.36 is: 11,714.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077 : 19,426.98 = 8,488.36 : x
  2. Step 2: Convert to fraction form
    14,077/19,426.98 = 8,488.36/x
  3. Step 3: Cross multiply
    14,077x = 19,426.98 × 8,488.36
  4. Step 4: Simplify right side
    14,077x = 164,903,199.95
  5. Step 5: Solve for x
    x = 164,903,199.95/14,077
  6. Step 6: Final answer
    x = 11,714.37

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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.