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Finding the Fourth Proportional to 14,078.24, 21,123 and 5,315.64

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Solution

The fourth proportional to 14,078.24, 21,123 and 5,315.64 is: 7,975.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078.24 : 21,123 = 5,315.64 : x
  2. Step 2: Convert to fraction form
    14,078.24/21,123 = 5,315.64/x
  3. Step 3: Cross multiply
    14,078.24x = 21,123 × 5,315.64
  4. Step 4: Simplify right side
    14,078.24x = 112,282,263.72
  5. Step 5: Solve for x
    x = 112,282,263.72/14,078.24
  6. Step 6: Final answer
    x = 7,975.59

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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.