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Finding the Fourth Proportional to 24,500, 33,810.16 and 13,322.40

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Solution

The fourth proportional to 24,500, 33,810.16 and 13,322.40 is: 18,385.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,500 : 33,810.16 = 13,322.40 : x
  2. Step 2: Convert to fraction form
    24,500/33,810.16 = 13,322.40/x
  3. Step 3: Cross multiply
    24,500x = 33,810.16 × 13,322.40
  4. Step 4: Simplify right side
    24,500x = 450,432,475.58
  5. Step 5: Solve for x
    x = 450,432,475.58/24,500
  6. Step 6: Final answer
    x = 18,385.00

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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.