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Finding the Fourth Proportional to 22,907.56, 31,571.22 and 14,509.48

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Solution

The fourth proportional to 22,907.56, 31,571.22 and 14,509.48 is: 19,996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,907.56 : 31,571.22 = 14,509.48 : x
  2. Step 2: Convert to fraction form
    22,907.56/31,571.22 = 14,509.48/x
  3. Step 3: Cross multiply
    22,907.56x = 31,571.22 × 14,509.48
  4. Step 4: Simplify right side
    22,907.56x = 458,081,985.17
  5. Step 5: Solve for x
    x = 458,081,985.17/22,907.56
  6. Step 6: Final answer
    x = 19,996.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.