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Finding the Fourth Proportional to 13,868, 19,137.90 and 7,580.36

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Solution

The fourth proportional to 13,868, 19,137.90 and 7,580.36 is: 10,460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,868 : 19,137.90 = 7,580.36 : x
  2. Step 2: Convert to fraction form
    13,868/19,137.90 = 7,580.36/x
  3. Step 3: Cross multiply
    13,868x = 19,137.90 × 7,580.36
  4. Step 4: Simplify right side
    13,868x = 145,072,171.64
  5. Step 5: Solve for x
    x = 145,072,171.64/13,868
  6. Step 6: Final answer
    x = 10,460.93

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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.