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Finding the Fourth Proportional to 14,403, 19,876.14 and 7,779

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Solution

The fourth proportional to 14,403, 19,876.14 and 7,779 is: 10,735.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,403 : 19,876.14 = 7,779 : x
  2. Step 2: Convert to fraction form
    14,403/19,876.14 = 7,779/x
  3. Step 3: Cross multiply
    14,403x = 19,876.14 × 7,779
  4. Step 4: Simplify right side
    14,403x = 154,616,493.06
  5. Step 5: Solve for x
    x = 154,616,493.06/14,403
  6. Step 6: Final answer
    x = 10,735.02

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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.