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Finding the Fourth Proportional to 11,445.60, 17,077.08 and 9,783.84

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Solution

The fourth proportional to 11,445.60, 17,077.08 and 9,783.84 is: 14,597.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,445.60 : 17,077.08 = 9,783.84 : x
  2. Step 2: Convert to fraction form
    11,445.60/17,077.08 = 9,783.84/x
  3. Step 3: Cross multiply
    11,445.60x = 17,077.08 × 9,783.84
  4. Step 4: Simplify right side
    11,445.60x = 167,079,418.39
  5. Step 5: Solve for x
    x = 167,079,418.39/11,445.60
  6. Step 6: Final answer
    x = 14,597.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.