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Finding the Fourth Proportional to 13,277.16, 19,931.94 and 8,356.41

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Solution

The fourth proportional to 13,277.16, 19,931.94 and 8,356.41 is: 12,544.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,277.16 : 19,931.94 = 8,356.41 : x
  2. Step 2: Convert to fraction form
    13,277.16/19,931.94 = 8,356.41/x
  3. Step 3: Cross multiply
    13,277.16x = 19,931.94 × 8,356.41
  4. Step 4: Simplify right side
    13,277.16x = 166,559,462.74
  5. Step 5: Solve for x
    x = 166,559,462.74/13,277.16
  6. Step 6: Final answer
    x = 12,544.81

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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.