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Finding the Fourth Proportional to 14,410.10, 21,617.76 and 7,014.56

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Solution

The fourth proportional to 14,410.10, 21,617.76 and 7,014.56 is: 10,523.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.10 : 21,617.76 = 7,014.56 : x
  2. Step 2: Convert to fraction form
    14,410.10/21,617.76 = 7,014.56/x
  3. Step 3: Cross multiply
    14,410.10x = 21,617.76 × 7,014.56
  4. Step 4: Simplify right side
    14,410.10x = 151,638,966.50
  5. Step 5: Solve for x
    x = 151,638,966.50/14,410.10
  6. Step 6: Final answer
    x = 10,523.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.