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Finding the Fourth Proportional to 14,541.84, 21,813.82 and 4,154.40

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Solution

The fourth proportional to 14,541.84, 21,813.82 and 4,154.40 is: 6,231.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,541.84 : 21,813.82 = 4,154.40 : x
  2. Step 2: Convert to fraction form
    14,541.84/21,813.82 = 4,154.40/x
  3. Step 3: Cross multiply
    14,541.84x = 21,813.82 × 4,154.40
  4. Step 4: Simplify right side
    14,541.84x = 90,623,333.81
  5. Step 5: Solve for x
    x = 90,623,333.81/14,541.84
  6. Step 6: Final answer
    x = 6,231.90

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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.