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Finding the Fourth Proportional to 13,840.56, 19,098.18 and 7,870.95

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Solution

The fourth proportional to 13,840.56, 19,098.18 and 7,870.95 is: 10,860.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.56 : 19,098.18 = 7,870.95 : x
  2. Step 2: Convert to fraction form
    13,840.56/19,098.18 = 7,870.95/x
  3. Step 3: Cross multiply
    13,840.56x = 19,098.18 × 7,870.95
  4. Step 4: Simplify right side
    13,840.56x = 150,320,819.87
  5. Step 5: Solve for x
    x = 150,320,819.87/13,840.56
  6. Step 6: Final answer
    x = 10,860.89

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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.