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Finding the Fourth Proportional to 30,142.64, 41,595.72 and 16,714.04

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Solution

The fourth proportional to 30,142.64, 41,595.72 and 16,714.04 is: 23,064.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.64 : 41,595.72 = 16,714.04 : x
  2. Step 2: Convert to fraction form
    30,142.64/41,595.72 = 16,714.04/x
  3. Step 3: Cross multiply
    30,142.64x = 41,595.72 × 16,714.04
  4. Step 4: Simplify right side
    30,142.64x = 695,232,527.91
  5. Step 5: Solve for x
    x = 695,232,527.91/30,142.64
  6. Step 6: Final answer
    x = 23,064.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.