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Finding the Fourth Proportional to 16,294.12, 24,435.10 and 6,430.12

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Solution

The fourth proportional to 16,294.12, 24,435.10 and 6,430.12 is: 9,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.12 : 24,435.10 = 6,430.12 : x
  2. Step 2: Convert to fraction form
    16,294.12/24,435.10 = 6,430.12/x
  3. Step 3: Cross multiply
    16,294.12x = 24,435.10 × 6,430.12
  4. Step 4: Simplify right side
    16,294.12x = 157,120,625.21
  5. Step 5: Solve for x
    x = 157,120,625.21/16,294.12
  6. Step 6: Final answer
    x = 9,642.78

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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.