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Finding the Fourth Proportional to 14,025.23, 19,353.47 and 7,737.20

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Solution

The fourth proportional to 14,025.23, 19,353.47 and 7,737.20 is: 10,676.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,025.23 : 19,353.47 = 7,737.20 : x
  2. Step 2: Convert to fraction form
    14,025.23/19,353.47 = 7,737.20/x
  3. Step 3: Cross multiply
    14,025.23x = 19,353.47 × 7,737.20
  4. Step 4: Simplify right side
    14,025.23x = 149,741,735.81
  5. Step 5: Solve for x
    x = 149,741,735.81/14,025.23
  6. Step 6: Final answer
    x = 10,676.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.