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Finding the Fourth Proportional to 14,148.64, 21,221.74 and 4,788.45

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Solution

The fourth proportional to 14,148.64, 21,221.74 and 4,788.45 is: 7,182.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148.64 : 21,221.74 = 4,788.45 : x
  2. Step 2: Convert to fraction form
    14,148.64/21,221.74 = 4,788.45/x
  3. Step 3: Cross multiply
    14,148.64x = 21,221.74 × 4,788.45
  4. Step 4: Simplify right side
    14,148.64x = 101,619,333.05
  5. Step 5: Solve for x
    x = 101,619,333.05/14,148.64
  6. Step 6: Final answer
    x = 7,182.27

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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.