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Finding the Fourth Proportional to 13,951.69, 19,253.47 and 7,578.34

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Solution

The fourth proportional to 13,951.69, 19,253.47 and 7,578.34 is: 10,458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,951.69 : 19,253.47 = 7,578.34 : x
  2. Step 2: Convert to fraction form
    13,951.69/19,253.47 = 7,578.34/x
  3. Step 3: Cross multiply
    13,951.69x = 19,253.47 × 7,578.34
  4. Step 4: Simplify right side
    13,951.69x = 145,909,341.84
  5. Step 5: Solve for x
    x = 145,909,341.84/13,951.69
  6. Step 6: Final answer
    x = 10,458.18

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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.