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Finding the Fourth Proportional to 39,741.60, 59,597.64 and 11,654.40

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Solution

The fourth proportional to 39,741.60, 59,597.64 and 11,654.40 is: 17,477.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,741.60 : 59,597.64 = 11,654.40 : x
  2. Step 2: Convert to fraction form
    39,741.60/59,597.64 = 11,654.40/x
  3. Step 3: Cross multiply
    39,741.60x = 59,597.64 × 11,654.40
  4. Step 4: Simplify right side
    39,741.60x = 694,574,735.62
  5. Step 5: Solve for x
    x = 694,574,735.62/39,741.60
  6. Step 6: Final answer
    x = 17,477.27

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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.