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Finding the Fourth Proportional to 12,952.81, 19,435.37 and 6,711.66

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Solution

The fourth proportional to 12,952.81, 19,435.37 and 6,711.66 is: 10,070.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.81 : 19,435.37 = 6,711.66 : x
  2. Step 2: Convert to fraction form
    12,952.81/19,435.37 = 6,711.66/x
  3. Step 3: Cross multiply
    12,952.81x = 19,435.37 × 6,711.66
  4. Step 4: Simplify right side
    12,952.81x = 130,443,561.86
  5. Step 5: Solve for x
    x = 130,443,561.86/12,952.81
  6. Step 6: Final answer
    x = 10,070.68

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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.