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Finding the Fourth Proportional to 13,433.51, 18,537.68 and 7,465.13

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Solution

The fourth proportional to 13,433.51, 18,537.68 and 7,465.13 is: 10,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433.51 : 18,537.68 = 7,465.13 : x
  2. Step 2: Convert to fraction form
    13,433.51/18,537.68 = 7,465.13/x
  3. Step 3: Cross multiply
    13,433.51x = 18,537.68 × 7,465.13
  4. Step 4: Simplify right side
    13,433.51x = 138,386,098.41
  5. Step 5: Solve for x
    x = 138,386,098.41/13,433.51
  6. Step 6: Final answer
    x = 10,301.56

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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.