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Finding the Fourth Proportional to 23,476.70, 32,398.77 and 13,405.23

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Solution

The fourth proportional to 23,476.70, 32,398.77 and 13,405.23 is: 18,499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,476.70 : 32,398.77 = 13,405.23 : x
  2. Step 2: Convert to fraction form
    23,476.70/32,398.77 = 13,405.23/x
  3. Step 3: Cross multiply
    23,476.70x = 32,398.77 × 13,405.23
  4. Step 4: Simplify right side
    23,476.70x = 434,312,963.57
  5. Step 5: Solve for x
    x = 434,312,963.57/23,476.70
  6. Step 6: Final answer
    x = 18,499.75

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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.