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Finding the Fourth Proportional to 38,714.74, 53,430.37 and 21,723.57

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Solution

The fourth proportional to 38,714.74, 53,430.37 and 21,723.57 is: 29,980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,714.74 : 53,430.37 = 21,723.57 : x
  2. Step 2: Convert to fraction form
    38,714.74/53,430.37 = 21,723.57/x
  3. Step 3: Cross multiply
    38,714.74x = 53,430.37 × 21,723.57
  4. Step 4: Simplify right side
    38,714.74x = 1,160,698,328.51
  5. Step 5: Solve for x
    x = 1,160,698,328.51/38,714.74
  6. Step 6: Final answer
    x = 29,980.79

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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.