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Finding the Fourth Proportional to 13,957, 19,260.14 and 7,583.32

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Solution

The fourth proportional to 13,957, 19,260.14 and 7,583.32 is: 10,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957 : 19,260.14 = 7,583.32 : x
  2. Step 2: Convert to fraction form
    13,957/19,260.14 = 7,583.32/x
  3. Step 3: Cross multiply
    13,957x = 19,260.14 × 7,583.32
  4. Step 4: Simplify right side
    13,957x = 146,055,804.86
  5. Step 5: Solve for x
    x = 146,055,804.86/13,957
  6. Step 6: Final answer
    x = 10,464.70

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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.