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Finding the Fourth Proportional to 38,714.69, 53,428.59 and 22,809.74

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Solution

The fourth proportional to 38,714.69, 53,428.59 and 22,809.74 is: 31,478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,714.69 : 53,428.59 = 22,809.74 : x
  2. Step 2: Convert to fraction form
    38,714.69/53,428.59 = 22,809.74/x
  3. Step 3: Cross multiply
    38,714.69x = 53,428.59 × 22,809.74
  4. Step 4: Simplify right side
    38,714.69x = 1,218,691,979.32
  5. Step 5: Solve for x
    x = 1,218,691,979.32/38,714.69
  6. Step 6: Final answer
    x = 31,478.80

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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.