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Finding the Fourth Proportional to 23,602.29, 32,573.70 and 13,527.51

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Solution

The fourth proportional to 23,602.29, 32,573.70 and 13,527.51 is: 18,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,602.29 : 32,573.70 = 13,527.51 : x
  2. Step 2: Convert to fraction form
    23,602.29/32,573.70 = 13,527.51/x
  3. Step 3: Cross multiply
    23,602.29x = 32,573.70 × 13,527.51
  4. Step 4: Simplify right side
    23,602.29x = 440,641,052.49
  5. Step 5: Solve for x
    x = 440,641,052.49/23,602.29
  6. Step 6: Final answer
    x = 18,669.42

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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.