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Finding the Fourth Proportional to 24,509.88, 33,824.02 and 13,899.32

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Solution

The fourth proportional to 24,509.88, 33,824.02 and 13,899.32 is: 19,181.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.88 : 33,824.02 = 13,899.32 : x
  2. Step 2: Convert to fraction form
    24,509.88/33,824.02 = 13,899.32/x
  3. Step 3: Cross multiply
    24,509.88x = 33,824.02 × 13,899.32
  4. Step 4: Simplify right side
    24,509.88x = 470,130,877.67
  5. Step 5: Solve for x
    x = 470,130,877.67/24,509.88
  6. Step 6: Final answer
    x = 19,181.28

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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.