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Finding the Fourth Proportional to 12,564.45, 18,836.91 and 7,291.35

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Solution

The fourth proportional to 12,564.45, 18,836.91 and 7,291.35 is: 10,931.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.45 : 18,836.91 = 7,291.35 : x
  2. Step 2: Convert to fraction form
    12,564.45/18,836.91 = 7,291.35/x
  3. Step 3: Cross multiply
    12,564.45x = 18,836.91 × 7,291.35
  4. Step 4: Simplify right side
    12,564.45x = 137,346,503.73
  5. Step 5: Solve for x
    x = 137,346,503.73/12,564.45
  6. Step 6: Final answer
    x = 10,931.36

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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.