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Finding the Fourth Proportional to 19,340.12, 29,000.40 and 9,464.60

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Solution

The fourth proportional to 19,340.12, 29,000.40 and 9,464.60 is: 14,192.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,340.12 : 29,000.40 = 9,464.60 : x
  2. Step 2: Convert to fraction form
    19,340.12/29,000.40 = 9,464.60/x
  3. Step 3: Cross multiply
    19,340.12x = 29,000.40 × 9,464.60
  4. Step 4: Simplify right side
    19,340.12x = 274,477,185.84
  5. Step 5: Solve for x
    x = 274,477,185.84/19,340.12
  6. Step 6: Final answer
    x = 14,192.11

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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.