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Finding the Fourth Proportional to 21,202.60, 31,804.58 and 10,666.86

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Solution

The fourth proportional to 21,202.60, 31,804.58 and 10,666.86 is: 16,000.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,202.60 : 31,804.58 = 10,666.86 : x
  2. Step 2: Convert to fraction form
    21,202.60/31,804.58 = 10,666.86/x
  3. Step 3: Cross multiply
    21,202.60x = 31,804.58 × 10,666.86
  4. Step 4: Simplify right side
    21,202.60x = 339,255,002.22
  5. Step 5: Solve for x
    x = 339,255,002.22/21,202.60
  6. Step 6: Final answer
    x = 16,000.63

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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.