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Finding the Fourth Proportional to 22,945.80, 34,345.80 and 16,384.80

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Solution

The fourth proportional to 22,945.80, 34,345.80 and 16,384.80 is: 24,525.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,945.80 : 34,345.80 = 16,384.80 : x
  2. Step 2: Convert to fraction form
    22,945.80/34,345.80 = 16,384.80/x
  3. Step 3: Cross multiply
    22,945.80x = 34,345.80 × 16,384.80
  4. Step 4: Simplify right side
    22,945.80x = 562,749,063.84
  5. Step 5: Solve for x
    x = 562,749,063.84/22,945.80
  6. Step 6: Final answer
    x = 24,525.14

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1.5x scale

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.