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Finding the Fourth Proportional to 21,382.65, 32,054.54 and 9,689.49

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Solution

The fourth proportional to 21,382.65, 32,054.54 and 9,689.49 is: 14,525.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,382.65 : 32,054.54 = 9,689.49 : x
  2. Step 2: Convert to fraction form
    21,382.65/32,054.54 = 9,689.49/x
  3. Step 3: Cross multiply
    21,382.65x = 32,054.54 × 9,689.49
  4. Step 4: Simplify right side
    21,382.65x = 310,592,096.34
  5. Step 5: Solve for x
    x = 310,592,096.34/21,382.65
  6. Step 6: Final answer
    x = 14,525.43

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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.