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Finding the Fourth Proportional to 24,482.40, 33,783.38 and 13,872

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Solution

The fourth proportional to 24,482.40, 33,783.38 and 13,872 is: 19,142.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,482.40 : 33,783.38 = 13,872 : x
  2. Step 2: Convert to fraction form
    24,482.40/33,783.38 = 13,872/x
  3. Step 3: Cross multiply
    24,482.40x = 33,783.38 × 13,872
  4. Step 4: Simplify right side
    24,482.40x = 468,643,047.36
  5. Step 5: Solve for x
    x = 468,643,047.36/24,482.40
  6. Step 6: Final answer
    x = 19,142.04

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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.