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Finding the Fourth Proportional to 14,523.56, 21,788.16 and 4,662.08

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Solution

The fourth proportional to 14,523.56, 21,788.16 and 4,662.08 is: 6,994.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.56 : 21,788.16 = 4,662.08 : x
  2. Step 2: Convert to fraction form
    14,523.56/21,788.16 = 4,662.08/x
  3. Step 3: Cross multiply
    14,523.56x = 21,788.16 × 4,662.08
  4. Step 4: Simplify right side
    14,523.56x = 101,578,036.03
  5. Step 5: Solve for x
    x = 101,578,036.03/14,523.56
  6. Step 6: Final answer
    x = 6,994.02

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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.