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Finding the Fourth Proportional to 12,931.94, 19,403.67 and 6,774.50

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Solution

The fourth proportional to 12,931.94, 19,403.67 and 6,774.50 is: 10,164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,931.94 : 19,403.67 = 6,774.50 : x
  2. Step 2: Convert to fraction form
    12,931.94/19,403.67 = 6,774.50/x
  3. Step 3: Cross multiply
    12,931.94x = 19,403.67 × 6,774.50
  4. Step 4: Simplify right side
    12,931.94x = 131,450,162.42
  5. Step 5: Solve for x
    x = 131,450,162.42/12,931.94
  6. Step 6: Final answer
    x = 10,164.77

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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.