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Finding the Fourth Proportional to 23,853.65, 35,779.57 and 9,809.78

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Solution

The fourth proportional to 23,853.65, 35,779.57 and 9,809.78 is: 14,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,853.65 : 35,779.57 = 9,809.78 : x
  2. Step 2: Convert to fraction form
    23,853.65/35,779.57 = 9,809.78/x
  3. Step 3: Cross multiply
    23,853.65x = 35,779.57 × 9,809.78
  4. Step 4: Simplify right side
    23,853.65x = 350,989,506.77
  5. Step 5: Solve for x
    x = 350,989,506.77/23,853.65
  6. Step 6: Final answer
    x = 14,714.29

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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.