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Finding the Fourth Proportional to 24,606.64, 33,957.12 and 13,428.64

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Solution

The fourth proportional to 24,606.64, 33,957.12 and 13,428.64 is: 18,531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,606.64 : 33,957.12 = 13,428.64 : x
  2. Step 2: Convert to fraction form
    24,606.64/33,957.12 = 13,428.64/x
  3. Step 3: Cross multiply
    24,606.64x = 33,957.12 × 13,428.64
  4. Step 4: Simplify right side
    24,606.64x = 455,997,939.92
  5. Step 5: Solve for x
    x = 455,997,939.92/24,606.64
  6. Step 6: Final answer
    x = 18,531.50

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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.