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Finding the Fourth Proportional to 13,840.51, 19,099.83 and 7,552.88

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Solution

The fourth proportional to 13,840.51, 19,099.83 and 7,552.88 is: 10,422.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.51 : 19,099.83 = 7,552.88 : x
  2. Step 2: Convert to fraction form
    13,840.51/19,099.83 = 7,552.88/x
  3. Step 3: Cross multiply
    13,840.51x = 19,099.83 × 7,552.88
  4. Step 4: Simplify right side
    13,840.51x = 144,258,724.01
  5. Step 5: Solve for x
    x = 144,258,724.01/13,840.51
  6. Step 6: Final answer
    x = 10,422.94

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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.