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Finding the Fourth Proportional to 14,320.86, 21,477.14 and 4,960.50

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Solution

The fourth proportional to 14,320.86, 21,477.14 and 4,960.50 is: 7,439.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,320.86 : 21,477.14 = 4,960.50 : x
  2. Step 2: Convert to fraction form
    14,320.86/21,477.14 = 4,960.50/x
  3. Step 3: Cross multiply
    14,320.86x = 21,477.14 × 4,960.50
  4. Step 4: Simplify right side
    14,320.86x = 106,537,352.97
  5. Step 5: Solve for x
    x = 106,537,352.97/14,320.86
  6. Step 6: Final answer
    x = 7,439.31

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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.