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Finding the Fourth Proportional to 24,382.16, 33,645 and 13,770.32

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Solution

The fourth proportional to 24,382.16, 33,645 and 13,770.32 is: 19,001.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,382.16 : 33,645 = 13,770.32 : x
  2. Step 2: Convert to fraction form
    24,382.16/33,645 = 13,770.32/x
  3. Step 3: Cross multiply
    24,382.16x = 33,645 × 13,770.32
  4. Step 4: Simplify right side
    24,382.16x = 463,302,416.40
  5. Step 5: Solve for x
    x = 463,302,416.40/24,382.16
  6. Step 6: Final answer
    x = 19,001.70

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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.