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Finding the Fourth Proportional to 14,509.54, 20,024.58 and 8,137.22

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Solution

The fourth proportional to 14,509.54, 20,024.58 and 8,137.22 is: 11,230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.54 : 20,024.58 = 8,137.22 : x
  2. Step 2: Convert to fraction form
    14,509.54/20,024.58 = 8,137.22/x
  3. Step 3: Cross multiply
    14,509.54x = 20,024.58 × 8,137.22
  4. Step 4: Simplify right side
    14,509.54x = 162,944,412.87
  5. Step 5: Solve for x
    x = 162,944,412.87/14,509.54
  6. Step 6: Final answer
    x = 11,230.16

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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.