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Finding the Fourth Proportional to 14,242.96, 19,626.06 and 12,823.84

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Solution

The fourth proportional to 14,242.96, 19,626.06 and 12,823.84 is: 17,670.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.96 : 19,626.06 = 12,823.84 : x
  2. Step 2: Convert to fraction form
    14,242.96/19,626.06 = 12,823.84/x
  3. Step 3: Cross multiply
    14,242.96x = 19,626.06 × 12,823.84
  4. Step 4: Simplify right side
    14,242.96x = 251,681,453.27
  5. Step 5: Solve for x
    x = 251,681,453.27/14,242.96
  6. Step 6: Final answer
    x = 17,670.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.