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Finding the Fourth Proportional to 13,970.45, 19,278.84 and 7,682.83

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Solution

The fourth proportional to 13,970.45, 19,278.84 and 7,682.83 is: 10,602.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.45 : 19,278.84 = 7,682.83 : x
  2. Step 2: Convert to fraction form
    13,970.45/19,278.84 = 7,682.83/x
  3. Step 3: Cross multiply
    13,970.45x = 19,278.84 × 7,682.83
  4. Step 4: Simplify right side
    13,970.45x = 148,116,002.12
  5. Step 5: Solve for x
    x = 148,116,002.12/13,970.45
  6. Step 6: Final answer
    x = 10,602.09

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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.