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Finding the Fourth Proportional to 23,506.70, 32,437.18 and 13,433.14

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Solution

The fourth proportional to 23,506.70, 32,437.18 and 13,433.14 is: 18,536.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,506.70 : 32,437.18 = 13,433.14 : x
  2. Step 2: Convert to fraction form
    23,506.70/32,437.18 = 13,433.14/x
  3. Step 3: Cross multiply
    23,506.70x = 32,437.18 × 13,433.14
  4. Step 4: Simplify right side
    23,506.70x = 435,733,180.15
  5. Step 5: Solve for x
    x = 435,733,180.15/23,506.70
  6. Step 6: Final answer
    x = 18,536.55

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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.