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Finding the Fourth Proportional to 21,036, 31,550.64 and 7,002.24

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Solution

The fourth proportional to 21,036, 31,550.64 and 7,002.24 is: 10,502.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,036 : 31,550.64 = 7,002.24 : x
  2. Step 2: Convert to fraction form
    21,036/31,550.64 = 7,002.24/x
  3. Step 3: Cross multiply
    21,036x = 31,550.64 × 7,002.24
  4. Step 4: Simplify right side
    21,036x = 220,925,153.43
  5. Step 5: Solve for x
    x = 220,925,153.43/21,036
  6. Step 6: Final answer
    x = 10,502.24

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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.