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Finding the Fourth Proportional to 14,418, 21,602.43 and 10,237.32

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Solution

The fourth proportional to 14,418, 21,602.43 and 10,237.32 is: 15,338.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,418 : 21,602.43 = 10,237.32 : x
  2. Step 2: Convert to fraction form
    14,418/21,602.43 = 10,237.32/x
  3. Step 3: Cross multiply
    14,418x = 21,602.43 × 10,237.32
  4. Step 4: Simplify right side
    14,418x = 221,150,988.69
  5. Step 5: Solve for x
    x = 221,150,988.69/14,418
  6. Step 6: Final answer
    x = 15,338.53

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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.