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Finding the Fourth Proportional to 21,014.70, 31,509.90 and 7,868.40

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Solution

The fourth proportional to 21,014.70, 31,509.90 and 7,868.40 is: 11,798.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,014.70 : 31,509.90 = 7,868.40 : x
  2. Step 2: Convert to fraction form
    21,014.70/31,509.90 = 7,868.40/x
  3. Step 3: Cross multiply
    21,014.70x = 31,509.90 × 7,868.40
  4. Step 4: Simplify right side
    21,014.70x = 247,932,497.16
  5. Step 5: Solve for x
    x = 247,932,497.16/21,014.70
  6. Step 6: Final answer
    x = 11,798.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.