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Finding the Fourth Proportional to 13,840.34, 19,099.94 and 7,552.71

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Solution

The fourth proportional to 13,840.34, 19,099.94 and 7,552.71 is: 10,422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.34 : 19,099.94 = 7,552.71 : x
  2. Step 2: Convert to fraction form
    13,840.34/19,099.94 = 7,552.71/x
  3. Step 3: Cross multiply
    13,840.34x = 19,099.94 × 7,552.71
  4. Step 4: Simplify right side
    13,840.34x = 144,256,270.07
  5. Step 5: Solve for x
    x = 144,256,270.07/13,840.34
  6. Step 6: Final answer
    x = 10,422.89

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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.