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Finding the Fourth Proportional to 21,234.68, 31,852.02 and 9,534.23

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Solution

The fourth proportional to 21,234.68, 31,852.02 and 9,534.23 is: 14,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234.68 : 31,852.02 = 9,534.23 : x
  2. Step 2: Convert to fraction form
    21,234.68/31,852.02 = 9,534.23/x
  3. Step 3: Cross multiply
    21,234.68x = 31,852.02 × 9,534.23
  4. Step 4: Simplify right side
    21,234.68x = 303,684,484.64
  5. Step 5: Solve for x
    x = 303,684,484.64/21,234.68
  6. Step 6: Final answer
    x = 14,301.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.