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Finding the Fourth Proportional to 23,594.64, 32,561.37 and 13,524.99

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Solution

The fourth proportional to 23,594.64, 32,561.37 and 13,524.99 is: 18,664.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,594.64 : 32,561.37 = 13,524.99 : x
  2. Step 2: Convert to fraction form
    23,594.64/32,561.37 = 13,524.99/x
  3. Step 3: Cross multiply
    23,594.64x = 32,561.37 × 13,524.99
  4. Step 4: Simplify right side
    23,594.64x = 440,392,030.81
  5. Step 5: Solve for x
    x = 440,392,030.81/23,594.64
  6. Step 6: Final answer
    x = 18,664.92

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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.