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Finding the Fourth Proportional to 13,644.80, 20,461.44 and 4,878.08

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Solution

The fourth proportional to 13,644.80, 20,461.44 and 4,878.08 is: 7,315.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.80 : 20,461.44 = 4,878.08 : x
  2. Step 2: Convert to fraction form
    13,644.80/20,461.44 = 4,878.08/x
  3. Step 3: Cross multiply
    13,644.80x = 20,461.44 × 4,878.08
  4. Step 4: Simplify right side
    13,644.80x = 99,812,541.24
  5. Step 5: Solve for x
    x = 99,812,541.24/13,644.80
  6. Step 6: Final answer
    x = 7,315.06

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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.