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Finding the Fourth Proportional to 13,465.77, 18,583.50 and 7,497.31

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Solution

The fourth proportional to 13,465.77, 18,583.50 and 7,497.31 is: 10,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.77 : 18,583.50 = 7,497.31 : x
  2. Step 2: Convert to fraction form
    13,465.77/18,583.50 = 7,497.31/x
  3. Step 3: Cross multiply
    13,465.77x = 18,583.50 × 7,497.31
  4. Step 4: Simplify right side
    13,465.77x = 139,326,260.39
  5. Step 5: Solve for x
    x = 139,326,260.39/13,465.77
  6. Step 6: Final answer
    x = 10,346.70

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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.