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Finding the Fourth Proportional to 21,457.47, 32,193.19 and 10,365.44

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Solution

The fourth proportional to 21,457.47, 32,193.19 and 10,365.44 is: 15,551.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,457.47 : 32,193.19 = 10,365.44 : x
  2. Step 2: Convert to fraction form
    21,457.47/32,193.19 = 10,365.44/x
  3. Step 3: Cross multiply
    21,457.47x = 32,193.19 × 10,365.44
  4. Step 4: Simplify right side
    21,457.47x = 333,696,431.34
  5. Step 5: Solve for x
    x = 333,696,431.34/21,457.47
  6. Step 6: Final answer
    x = 15,551.52

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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.