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Finding the Fourth Proportional to 17,728.32, 24,465.60 and 9,770.64

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Solution

The fourth proportional to 17,728.32, 24,465.60 and 9,770.64 is: 13,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728.32 : 24,465.60 = 9,770.64 : x
  2. Step 2: Convert to fraction form
    17,728.32/24,465.60 = 9,770.64/x
  3. Step 3: Cross multiply
    17,728.32x = 24,465.60 × 9,770.64
  4. Step 4: Simplify right side
    17,728.32x = 239,044,569.98
  5. Step 5: Solve for x
    x = 239,044,569.98/17,728.32
  6. Step 6: Final answer
    x = 13,483.77

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