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Finding the Fourth Proportional to 23,574.42, 32,528.64 and 13,364.98

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Solution

The fourth proportional to 23,574.42, 32,528.64 and 13,364.98 is: 18,441.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,574.42 : 32,528.64 = 13,364.98 : x
  2. Step 2: Convert to fraction form
    23,574.42/32,528.64 = 13,364.98/x
  3. Step 3: Cross multiply
    23,574.42x = 32,528.64 × 13,364.98
  4. Step 4: Simplify right side
    23,574.42x = 434,744,623.03
  5. Step 5: Solve for x
    x = 434,744,623.03/23,574.42
  6. Step 6: Final answer
    x = 18,441.37

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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.