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Finding the Fourth Proportional to 13,532.46, 18,676.54 and 7,565.36

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Solution

The fourth proportional to 13,532.46, 18,676.54 and 7,565.36 is: 10,441.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.46 : 18,676.54 = 7,565.36 : x
  2. Step 2: Convert to fraction form
    13,532.46/18,676.54 = 7,565.36/x
  3. Step 3: Cross multiply
    13,532.46x = 18,676.54 × 7,565.36
  4. Step 4: Simplify right side
    13,532.46x = 141,294,748.65
  5. Step 5: Solve for x
    x = 141,294,748.65/13,532.46
  6. Step 6: Final answer
    x = 10,441.17

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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.