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Finding the Fourth Proportional to 17,835.54, 24,611.02 and 9,875.76

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Solution

The fourth proportional to 17,835.54, 24,611.02 and 9,875.76 is: 13,627.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,835.54 : 24,611.02 = 9,875.76 : x
  2. Step 2: Convert to fraction form
    17,835.54/24,611.02 = 9,875.76/x
  3. Step 3: Cross multiply
    17,835.54x = 24,611.02 × 9,875.76
  4. Step 4: Simplify right side
    17,835.54x = 243,052,526.88
  5. Step 5: Solve for x
    x = 243,052,526.88/17,835.54
  6. Step 6: Final answer
    x = 13,627.43

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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.