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Finding the Fourth Proportional to 13,433.77, 18,539.07 and 7,465.69

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Solution

The fourth proportional to 13,433.77, 18,539.07 and 7,465.69 is: 10,302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433.77 : 18,539.07 = 7,465.69 : x
  2. Step 2: Convert to fraction form
    13,433.77/18,539.07 = 7,465.69/x
  3. Step 3: Cross multiply
    13,433.77x = 18,539.07 × 7,465.69
  4. Step 4: Simplify right side
    13,433.77x = 138,406,949.51
  5. Step 5: Solve for x
    x = 138,406,949.51/13,433.77
  6. Step 6: Final answer
    x = 10,302.91

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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.