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Finding the Fourth Proportional to 21,807.10, 32,707.53 and 7,014.06

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Solution

The fourth proportional to 21,807.10, 32,707.53 and 7,014.06 is: 10,520.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,807.10 : 32,707.53 = 7,014.06 : x
  2. Step 2: Convert to fraction form
    21,807.10/32,707.53 = 7,014.06/x
  3. Step 3: Cross multiply
    21,807.10x = 32,707.53 × 7,014.06
  4. Step 4: Simplify right side
    21,807.10x = 229,412,577.87
  5. Step 5: Solve for x
    x = 229,412,577.87/21,807.10
  6. Step 6: Final answer
    x = 10,520.09

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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.