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Finding the Fourth Proportional to 14,631.84, 21,951 and 4,243.68

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Solution

The fourth proportional to 14,631.84, 21,951 and 4,243.68 is: 6,366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,631.84 : 21,951 = 4,243.68 : x
  2. Step 2: Convert to fraction form
    14,631.84/21,951 = 4,243.68/x
  3. Step 3: Cross multiply
    14,631.84x = 21,951 × 4,243.68
  4. Step 4: Simplify right side
    14,631.84x = 93,153,019.68
  5. Step 5: Solve for x
    x = 93,153,019.68/14,631.84
  6. Step 6: Final answer
    x = 6,366.46

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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.