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Finding the Fourth Proportional to 13,433.46, 18,537.93 and 7,465.02

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Solution

The fourth proportional to 13,433.46, 18,537.93 and 7,465.02 is: 10,301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433.46 : 18,537.93 = 7,465.02 : x
  2. Step 2: Convert to fraction form
    13,433.46/18,537.93 = 7,465.02/x
  3. Step 3: Cross multiply
    13,433.46x = 18,537.93 × 7,465.02
  4. Step 4: Simplify right side
    13,433.46x = 138,386,018.21
  5. Step 5: Solve for x
    x = 138,386,018.21/13,433.46
  6. Step 6: Final answer
    x = 10,301.59

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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.