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Finding the Fourth Proportional to 21,507.98, 32,261.08 and 7,471.18

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Solution

The fourth proportional to 21,507.98, 32,261.08 and 7,471.18 is: 11,206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,507.98 : 32,261.08 = 7,471.18 : x
  2. Step 2: Convert to fraction form
    21,507.98/32,261.08 = 7,471.18/x
  3. Step 3: Cross multiply
    21,507.98x = 32,261.08 × 7,471.18
  4. Step 4: Simplify right side
    21,507.98x = 241,028,298.32
  5. Step 5: Solve for x
    x = 241,028,298.32/21,507.98
  6. Step 6: Final answer
    x = 11,206.46

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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.