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Finding the Fourth Proportional to 22,215.84, 30,643.56 and 13,256.46

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Solution

The fourth proportional to 22,215.84, 30,643.56 and 13,256.46 is: 18,285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,215.84 : 30,643.56 = 13,256.46 : x
  2. Step 2: Convert to fraction form
    22,215.84/30,643.56 = 13,256.46/x
  3. Step 3: Cross multiply
    22,215.84x = 30,643.56 × 13,256.46
  4. Step 4: Simplify right side
    22,215.84x = 406,225,127.40
  5. Step 5: Solve for x
    x = 406,225,127.40/22,215.84
  6. Step 6: Final answer
    x = 18,285.38

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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.