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Finding the Fourth Proportional to 14,514.16, 21,769.19 and 4,652.16

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Solution

The fourth proportional to 14,514.16, 21,769.19 and 4,652.16 is: 6,977.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,514.16 : 21,769.19 = 4,652.16 : x
  2. Step 2: Convert to fraction form
    14,514.16/21,769.19 = 4,652.16/x
  3. Step 3: Cross multiply
    14,514.16x = 21,769.19 × 4,652.16
  4. Step 4: Simplify right side
    14,514.16x = 101,273,748.35
  5. Step 5: Solve for x
    x = 101,273,748.35/14,514.16
  6. Step 6: Final answer
    x = 6,977.58

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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.