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Finding the Fourth Proportional to 14,091, 19,445.54 and 8,122.63

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Solution

The fourth proportional to 14,091, 19,445.54 and 8,122.63 is: 11,209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,091 : 19,445.54 = 8,122.63 : x
  2. Step 2: Convert to fraction form
    14,091/19,445.54 = 8,122.63/x
  3. Step 3: Cross multiply
    14,091x = 19,445.54 × 8,122.63
  4. Step 4: Simplify right side
    14,091x = 157,948,926.57
  5. Step 5: Solve for x
    x = 157,948,926.57/14,091
  6. Step 6: Final answer
    x = 11,209.21

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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.