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Finding the Fourth Proportional to 14,411.76, 21,624.36 and 14,178.80

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Solution

The fourth proportional to 14,411.76, 21,624.36 and 14,178.80 is: 21,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.76 : 21,624.36 = 14,178.80 : x
  2. Step 2: Convert to fraction form
    14,411.76/21,624.36 = 14,178.80/x
  3. Step 3: Cross multiply
    14,411.76x = 21,624.36 × 14,178.80
  4. Step 4: Simplify right side
    14,411.76x = 306,607,475.57
  5. Step 5: Solve for x
    x = 306,607,475.57/14,411.76
  6. Step 6: Final answer
    x = 21,274.81

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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.