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Finding the Fourth Proportional to 14,464.32, 21,698.19 and 5,102.39

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Solution

The fourth proportional to 14,464.32, 21,698.19 and 5,102.39 is: 7,654.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.32 : 21,698.19 = 5,102.39 : x
  2. Step 2: Convert to fraction form
    14,464.32/21,698.19 = 5,102.39/x
  3. Step 3: Cross multiply
    14,464.32x = 21,698.19 × 5,102.39
  4. Step 4: Simplify right side
    14,464.32x = 110,712,519.18
  5. Step 5: Solve for x
    x = 110,712,519.18/14,464.32
  6. Step 6: Final answer
    x = 7,654.18

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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.