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Finding the Fourth Proportional to 13,765.77, 20,661.62 and 9,152.01

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Solution

The fourth proportional to 13,765.77, 20,661.62 and 9,152.01 is: 13,736.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.77 : 20,661.62 = 9,152.01 : x
  2. Step 2: Convert to fraction form
    13,765.77/20,661.62 = 9,152.01/x
  3. Step 3: Cross multiply
    13,765.77x = 20,661.62 × 9,152.01
  4. Step 4: Simplify right side
    13,765.77x = 189,095,307.10
  5. Step 5: Solve for x
    x = 189,095,307.10/13,765.77
  6. Step 6: Final answer
    x = 13,736.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.