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Finding the Fourth Proportional to 13,977.86, 19,289 and 7,690.22

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Solution

The fourth proportional to 13,977.86, 19,289 and 7,690.22 is: 10,612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,977.86 : 19,289 = 7,690.22 : x
  2. Step 2: Convert to fraction form
    13,977.86/19,289 = 7,690.22/x
  3. Step 3: Cross multiply
    13,977.86x = 19,289 × 7,690.22
  4. Step 4: Simplify right side
    13,977.86x = 148,336,653.58
  5. Step 5: Solve for x
    x = 148,336,653.58/13,977.86
  6. Step 6: Final answer
    x = 10,612.26

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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.