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Finding the Fourth Proportional to 21,543.40, 32,315.10 and 7,689.64

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Solution

The fourth proportional to 21,543.40, 32,315.10 and 7,689.64 is: 11,534.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,543.40 : 32,315.10 = 7,689.64 : x
  2. Step 2: Convert to fraction form
    21,543.40/32,315.10 = 7,689.64/x
  3. Step 3: Cross multiply
    21,543.40x = 32,315.10 × 7,689.64
  4. Step 4: Simplify right side
    21,543.40x = 248,491,485.56
  5. Step 5: Solve for x
    x = 248,491,485.56/21,543.40
  6. Step 6: Final answer
    x = 11,534.46

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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.