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Finding the Fourth Proportional to 13,533.14, 18,676.07 and 7,565.81

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Solution

The fourth proportional to 13,533.14, 18,676.07 and 7,565.81 is: 10,441.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.14 : 18,676.07 = 7,565.81 : x
  2. Step 2: Convert to fraction form
    13,533.14/18,676.07 = 7,565.81/x
  3. Step 3: Cross multiply
    13,533.14x = 18,676.07 × 7,565.81
  4. Step 4: Simplify right side
    13,533.14x = 141,299,597.17
  5. Step 5: Solve for x
    x = 141,299,597.17/13,533.14
  6. Step 6: Final answer
    x = 10,441.01

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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.