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Finding the Fourth Proportional to 10,016.60, 13,783.05 and 9,712.24

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Solution

The fourth proportional to 10,016.60, 13,783.05 and 9,712.24 is: 13,364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.60 : 13,783.05 = 9,712.24 : x
  2. Step 2: Convert to fraction form
    10,016.60/13,783.05 = 9,712.24/x
  3. Step 3: Cross multiply
    10,016.60x = 13,783.05 × 9,712.24
  4. Step 4: Simplify right side
    10,016.60x = 133,864,255.07
  5. Step 5: Solve for x
    x = 133,864,255.07/10,016.60
  6. Step 6: Final answer
    x = 13,364.25

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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.