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Finding the Fourth Proportional to 30,840.01, 46,256.57 and 8,654.24

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Solution

The fourth proportional to 30,840.01, 46,256.57 and 8,654.24 is: 12,980.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,840.01 : 46,256.57 = 8,654.24 : x
  2. Step 2: Convert to fraction form
    30,840.01/46,256.57 = 8,654.24/x
  3. Step 3: Cross multiply
    30,840.01x = 46,256.57 × 8,654.24
  4. Step 4: Simplify right side
    30,840.01x = 400,315,563.18
  5. Step 5: Solve for x
    x = 400,315,563.18/30,840.01
  6. Step 6: Final answer
    x = 12,980.40

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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.