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Finding the Fourth Proportional to 21,412.66, 32,097.06 and 7,368.46

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Solution

The fourth proportional to 21,412.66, 32,097.06 and 7,368.46 is: 11,045.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,412.66 : 32,097.06 = 7,368.46 : x
  2. Step 2: Convert to fraction form
    21,412.66/32,097.06 = 7,368.46/x
  3. Step 3: Cross multiply
    21,412.66x = 32,097.06 × 7,368.46
  4. Step 4: Simplify right side
    21,412.66x = 236,505,902.73
  5. Step 5: Solve for x
    x = 236,505,902.73/21,412.66
  6. Step 6: Final answer
    x = 11,045.14

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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.