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Finding the Fourth Proportional to 38,646.26, 53,336.12 and 21,653.28

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Solution

The fourth proportional to 38,646.26, 53,336.12 and 21,653.28 is: 29,883.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,646.26 : 53,336.12 = 21,653.28 : x
  2. Step 2: Convert to fraction form
    38,646.26/53,336.12 = 21,653.28/x
  3. Step 3: Cross multiply
    38,646.26x = 53,336.12 × 21,653.28
  4. Step 4: Simplify right side
    38,646.26x = 1,154,901,940.47
  5. Step 5: Solve for x
    x = 1,154,901,940.47/38,646.26
  6. Step 6: Final answer
    x = 29,883.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.