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Finding the Fourth Proportional to 23,714.69, 35,572.03 and 6,184.47

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Solution

The fourth proportional to 23,714.69, 35,572.03 and 6,184.47 is: 9,276.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,714.69 : 35,572.03 = 6,184.47 : x
  2. Step 2: Convert to fraction form
    23,714.69/35,572.03 = 6,184.47/x
  3. Step 3: Cross multiply
    23,714.69x = 35,572.03 × 6,184.47
  4. Step 4: Simplify right side
    23,714.69x = 219,994,152.37
  5. Step 5: Solve for x
    x = 219,994,152.37/23,714.69
  6. Step 6: Final answer
    x = 9,276.70

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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.