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Finding the Fourth Proportional to 17,441.60, 24,068.38 and 9,483.76

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Solution

The fourth proportional to 17,441.60, 24,068.38 and 9,483.76 is: 13,087.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,441.60 : 24,068.38 = 9,483.76 : x
  2. Step 2: Convert to fraction form
    17,441.60/24,068.38 = 9,483.76/x
  3. Step 3: Cross multiply
    17,441.60x = 24,068.38 × 9,483.76
  4. Step 4: Simplify right side
    17,441.60x = 228,258,739.51
  5. Step 5: Solve for x
    x = 228,258,739.51/17,441.60
  6. Step 6: Final answer
    x = 13,087.03

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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.