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Finding the Fourth Proportional to 14,256.68, 21,353.86 and 7,224.63

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Solution

The fourth proportional to 14,256.68, 21,353.86 and 7,224.63 is: 10,821.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,256.68 : 21,353.86 = 7,224.63 : x
  2. Step 2: Convert to fraction form
    14,256.68/21,353.86 = 7,224.63/x
  3. Step 3: Cross multiply
    14,256.68x = 21,353.86 × 7,224.63
  4. Step 4: Simplify right side
    14,256.68x = 154,273,666.53
  5. Step 5: Solve for x
    x = 154,273,666.53/14,256.68
  6. Step 6: Final answer
    x = 10,821.15

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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.