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Finding the Fourth Proportional to 24,482, 33,788.04 and 14,546

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Solution

The fourth proportional to 24,482, 33,788.04 and 14,546 is: 20,075.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,482 : 33,788.04 = 14,546 : x
  2. Step 2: Convert to fraction form
    24,482/33,788.04 = 14,546/x
  3. Step 3: Cross multiply
    24,482x = 33,788.04 × 14,546
  4. Step 4: Simplify right side
    24,482x = 491,480,829.84
  5. Step 5: Solve for x
    x = 491,480,829.84/24,482
  6. Step 6: Final answer
    x = 20,075.19

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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.