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Finding the Fourth Proportional to 21,007.65, 31,523.78 and 11,655.50

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Solution

The fourth proportional to 21,007.65, 31,523.78 and 11,655.50 is: 17,490.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.65 : 31,523.78 = 11,655.50 : x
  2. Step 2: Convert to fraction form
    21,007.65/31,523.78 = 11,655.50/x
  3. Step 3: Cross multiply
    21,007.65x = 31,523.78 × 11,655.50
  4. Step 4: Simplify right side
    21,007.65x = 367,425,289.31
  5. Step 5: Solve for x
    x = 367,425,289.31/21,007.65
  6. Step 6: Final answer
    x = 17,490.07

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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.