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Finding the Fourth Proportional to 16,533.98, 22,813.34 and 9,821.87

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Solution

The fourth proportional to 16,533.98, 22,813.34 and 9,821.87 is: 13,552.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,533.98 : 22,813.34 = 9,821.87 : x
  2. Step 2: Convert to fraction form
    16,533.98/22,813.34 = 9,821.87/x
  3. Step 3: Cross multiply
    16,533.98x = 22,813.34 × 9,821.87
  4. Step 4: Simplify right side
    16,533.98x = 224,069,741.33
  5. Step 5: Solve for x
    x = 224,069,741.33/16,533.98
  6. Step 6: Final answer
    x = 13,552.07

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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.