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Finding the Fourth Proportional to 20,671.80, 31,007.70 and 10,303.80

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Solution

The fourth proportional to 20,671.80, 31,007.70 and 10,303.80 is: 15,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,671.80 : 31,007.70 = 10,303.80 : x
  2. Step 2: Convert to fraction form
    20,671.80/31,007.70 = 10,303.80/x
  3. Step 3: Cross multiply
    20,671.80x = 31,007.70 × 10,303.80
  4. Step 4: Simplify right side
    20,671.80x = 319,497,139.26
  5. Step 5: Solve for x
    x = 319,497,139.26/20,671.80
  6. Step 6: Final answer
    x = 15,455.70

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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.