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Finding the Fourth Proportional to 13,432.74, 18,535.51 and 7,465.64

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Solution

The fourth proportional to 13,432.74, 18,535.51 and 7,465.64 is: 10,301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432.74 : 18,535.51 = 7,465.64 : x
  2. Step 2: Convert to fraction form
    13,432.74/18,535.51 = 7,465.64/x
  3. Step 3: Cross multiply
    13,432.74x = 18,535.51 × 7,465.64
  4. Step 4: Simplify right side
    13,432.74x = 138,379,496.93
  5. Step 5: Solve for x
    x = 138,379,496.93/13,432.74
  6. Step 6: Final answer
    x = 10,301.66

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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.