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Finding the Fourth Proportional to 23,573.84, 32,534.12 and 13,500.27

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Solution

The fourth proportional to 23,573.84, 32,534.12 and 13,500.27 is: 18,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,573.84 : 32,534.12 = 13,500.27 : x
  2. Step 2: Convert to fraction form
    23,573.84/32,534.12 = 13,500.27/x
  3. Step 3: Cross multiply
    23,573.84x = 32,534.12 × 13,500.27
  4. Step 4: Simplify right side
    23,573.84x = 439,219,437.96
  5. Step 5: Solve for x
    x = 439,219,437.96/23,573.84
  6. Step 6: Final answer
    x = 18,631.65

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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.