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Finding the Fourth Proportional to 23,525.40, 32,465.42 and 12,916

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Solution

The fourth proportional to 23,525.40, 32,465.42 and 12,916 is: 17,824.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,525.40 : 32,465.42 = 12,916 : x
  2. Step 2: Convert to fraction form
    23,525.40/32,465.42 = 12,916/x
  3. Step 3: Cross multiply
    23,525.40x = 32,465.42 × 12,916
  4. Step 4: Simplify right side
    23,525.40x = 419,323,364.72
  5. Step 5: Solve for x
    x = 419,323,364.72/23,525.40
  6. Step 6: Final answer
    x = 17,824.28

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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.