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Finding the Fourth Proportional to 23,569.50, 32,527.50 and 13,498.22

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Solution

The fourth proportional to 23,569.50, 32,527.50 and 13,498.22 is: 18,628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,569.50 : 32,527.50 = 13,498.22 : x
  2. Step 2: Convert to fraction form
    23,569.50/32,527.50 = 13,498.22/x
  3. Step 3: Cross multiply
    23,569.50x = 32,527.50 × 13,498.22
  4. Step 4: Simplify right side
    23,569.50x = 439,063,351.05
  5. Step 5: Solve for x
    x = 439,063,351.05/23,569.50
  6. Step 6: Final answer
    x = 18,628.45

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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.