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Finding the Fourth Proportional to 14,652.26, 21,962.90 and 4,788.90

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Solution

The fourth proportional to 14,652.26, 21,962.90 and 4,788.90 is: 7,178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.26 : 21,962.90 = 4,788.90 : x
  2. Step 2: Convert to fraction form
    14,652.26/21,962.90 = 4,788.90/x
  3. Step 3: Cross multiply
    14,652.26x = 21,962.90 × 4,788.90
  4. Step 4: Simplify right side
    14,652.26x = 105,178,131.81
  5. Step 5: Solve for x
    x = 105,178,131.81/14,652.26
  6. Step 6: Final answer
    x = 7,178.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.