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Finding the Fourth Proportional to 14,176.84, 21,267.96 and 5,411.02

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Solution

The fourth proportional to 14,176.84, 21,267.96 and 5,411.02 is: 8,117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,176.84 : 21,267.96 = 5,411.02 : x
  2. Step 2: Convert to fraction form
    14,176.84/21,267.96 = 5,411.02/x
  3. Step 3: Cross multiply
    14,176.84x = 21,267.96 × 5,411.02
  4. Step 4: Simplify right side
    14,176.84x = 115,081,356.92
  5. Step 5: Solve for x
    x = 115,081,356.92/14,176.84
  6. Step 6: Final answer
    x = 8,117.56

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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.