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Finding the Fourth Proportional to 30,714.21, 42,385.14 and 17,102.16

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Solution

The fourth proportional to 30,714.21, 42,385.14 and 17,102.16 is: 23,600.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,714.21 : 42,385.14 = 17,102.16 : x
  2. Step 2: Convert to fraction form
    30,714.21/42,385.14 = 17,102.16/x
  3. Step 3: Cross multiply
    30,714.21x = 42,385.14 × 17,102.16
  4. Step 4: Simplify right side
    30,714.21x = 724,877,445.90
  5. Step 5: Solve for x
    x = 724,877,445.90/30,714.21
  6. Step 6: Final answer
    x = 23,600.72

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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.