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Finding the Fourth Proportional to 24,300, 33,542.64 and 16,852.32

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Solution

The fourth proportional to 24,300, 33,542.64 and 16,852.32 is: 23,262.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,300 : 33,542.64 = 16,852.32 : x
  2. Step 2: Convert to fraction form
    24,300/33,542.64 = 16,852.32/x
  3. Step 3: Cross multiply
    24,300x = 33,542.64 × 16,852.32
  4. Step 4: Simplify right side
    24,300x = 565,271,302.92
  5. Step 5: Solve for x
    x = 565,271,302.92/24,300
  6. Step 6: Final answer
    x = 23,262.19

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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.