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Finding the Fourth Proportional to 14,282.51, 21,428.15 and 6,391.67

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Solution

The fourth proportional to 14,282.51, 21,428.15 and 6,391.67 is: 9,589.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.51 : 21,428.15 = 6,391.67 : x
  2. Step 2: Convert to fraction form
    14,282.51/21,428.15 = 6,391.67/x
  3. Step 3: Cross multiply
    14,282.51x = 21,428.15 × 6,391.67
  4. Step 4: Simplify right side
    14,282.51x = 136,961,631.55
  5. Step 5: Solve for x
    x = 136,961,631.55/14,282.51
  6. Step 6: Final answer
    x = 9,589.46

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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.