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Finding the Fourth Proportional to 25,814.70, 38,714.58 and 7,095.35

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Solution

The fourth proportional to 25,814.70, 38,714.58 and 7,095.35 is: 10,640.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,814.70 : 38,714.58 = 7,095.35 : x
  2. Step 2: Convert to fraction form
    25,814.70/38,714.58 = 7,095.35/x
  3. Step 3: Cross multiply
    25,814.70x = 38,714.58 × 7,095.35
  4. Step 4: Simplify right side
    25,814.70x = 274,693,301.63
  5. Step 5: Solve for x
    x = 274,693,301.63/25,814.70
  6. Step 6: Final answer
    x = 10,640.96

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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.