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Finding the Fourth Proportional to 19,412.12, 29,110.44 and 8,323.76

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Solution

The fourth proportional to 19,412.12, 29,110.44 and 8,323.76 is: 12,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,412.12 : 29,110.44 = 8,323.76 : x
  2. Step 2: Convert to fraction form
    19,412.12/29,110.44 = 8,323.76/x
  3. Step 3: Cross multiply
    19,412.12x = 29,110.44 × 8,323.76
  4. Step 4: Simplify right side
    19,412.12x = 242,308,316.05
  5. Step 5: Solve for x
    x = 242,308,316.05/19,412.12
  6. Step 6: Final answer
    x = 12,482.32

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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.