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Finding the Fourth Proportional to 25,714.26, 38,543.04 and 14,597.01

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Solution

The fourth proportional to 25,714.26, 38,543.04 and 14,597.01 is: 21,879.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.26 : 38,543.04 = 14,597.01 : x
  2. Step 2: Convert to fraction form
    25,714.26/38,543.04 = 14,597.01/x
  3. Step 3: Cross multiply
    25,714.26x = 38,543.04 × 14,597.01
  4. Step 4: Simplify right side
    25,714.26x = 562,613,140.31
  5. Step 5: Solve for x
    x = 562,613,140.31/25,714.26
  6. Step 6: Final answer
    x = 21,879.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.