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Finding the Fourth Proportional to 23,564.64, 32,521.04 and 13,496.24

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Solution

The fourth proportional to 23,564.64, 32,521.04 and 13,496.24 is: 18,625.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.64 : 32,521.04 = 13,496.24 : x
  2. Step 2: Convert to fraction form
    23,564.64/32,521.04 = 13,496.24/x
  3. Step 3: Cross multiply
    23,564.64x = 32,521.04 × 13,496.24
  4. Step 4: Simplify right side
    23,564.64x = 438,911,760.89
  5. Step 5: Solve for x
    x = 438,911,760.89/23,564.64
  6. Step 6: Final answer
    x = 18,625.86

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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.