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Finding the Fourth Proportional to 13,433.99, 18,538.65 and 7,465.50

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Solution

The fourth proportional to 13,433.99, 18,538.65 and 7,465.50 is: 10,302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433.99 : 18,538.65 = 7,465.50 : x
  2. Step 2: Convert to fraction form
    13,433.99/18,538.65 = 7,465.50/x
  3. Step 3: Cross multiply
    13,433.99x = 18,538.65 × 7,465.50
  4. Step 4: Simplify right side
    13,433.99x = 138,400,291.58
  5. Step 5: Solve for x
    x = 138,400,291.58/13,433.99
  6. Step 6: Final answer
    x = 10,302.25

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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.