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Finding the Fourth Proportional to 19,492.12, 29,237.94 and 8,406.60

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Solution

The fourth proportional to 19,492.12, 29,237.94 and 8,406.60 is: 12,609.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,492.12 : 29,237.94 = 8,406.60 : x
  2. Step 2: Convert to fraction form
    19,492.12/29,237.94 = 8,406.60/x
  3. Step 3: Cross multiply
    19,492.12x = 29,237.94 × 8,406.60
  4. Step 4: Simplify right side
    19,492.12x = 245,791,666.40
  5. Step 5: Solve for x
    x = 245,791,666.40/19,492.12
  6. Step 6: Final answer
    x = 12,609.80

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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.