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Finding the Fourth Proportional to 21,574.50, 32,315.01 and 10,457.94

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Solution

The fourth proportional to 21,574.50, 32,315.01 and 10,457.94 is: 15,664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.50 : 32,315.01 = 10,457.94 : x
  2. Step 2: Convert to fraction form
    21,574.50/32,315.01 = 10,457.94/x
  3. Step 3: Cross multiply
    21,574.50x = 32,315.01 × 10,457.94
  4. Step 4: Simplify right side
    21,574.50x = 337,948,435.68
  5. Step 5: Solve for x
    x = 337,948,435.68/21,574.50
  6. Step 6: Final answer
    x = 15,664.25

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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.