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Finding the Fourth Proportional to 24,482.56, 33,784.64 and 13,872.32

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Solution

The fourth proportional to 24,482.56, 33,784.64 and 13,872.32 is: 19,143.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,482.56 : 33,784.64 = 13,872.32 : x
  2. Step 2: Convert to fraction form
    24,482.56/33,784.64 = 13,872.32/x
  3. Step 3: Cross multiply
    24,482.56x = 33,784.64 × 13,872.32
  4. Step 4: Simplify right side
    24,482.56x = 468,671,337.16
  5. Step 5: Solve for x
    x = 468,671,337.16/24,482.56
  6. Step 6: Final answer
    x = 19,143.07

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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.