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Finding the Fourth Proportional to 14,241.60, 19,661.40 and 8,577.90

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Solution

The fourth proportional to 14,241.60, 19,661.40 and 8,577.90 is: 11,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,241.60 : 19,661.40 = 8,577.90 : x
  2. Step 2: Convert to fraction form
    14,241.60/19,661.40 = 8,577.90/x
  3. Step 3: Cross multiply
    14,241.60x = 19,661.40 × 8,577.90
  4. Step 4: Simplify right side
    14,241.60x = 168,653,523.06
  5. Step 5: Solve for x
    x = 168,653,523.06/14,241.60
  6. Step 6: Final answer
    x = 11,842.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.