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Finding the Fourth Proportional to 12,953.01, 19,435.67 and 6,711.86

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Solution

The fourth proportional to 12,953.01, 19,435.67 and 6,711.86 is: 10,070.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.01 : 19,435.67 = 6,711.86 : x
  2. Step 2: Convert to fraction form
    12,953.01/19,435.67 = 6,711.86/x
  3. Step 3: Cross multiply
    12,953.01x = 19,435.67 × 6,711.86
  4. Step 4: Simplify right side
    12,953.01x = 130,449,496.05
  5. Step 5: Solve for x
    x = 130,449,496.05/12,953.01
  6. Step 6: Final answer
    x = 10,070.98

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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.