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Finding the Fourth Proportional to 19,557.84, 26,989.84 and 11,604

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Solution

The fourth proportional to 19,557.84, 26,989.84 and 11,604 is: 16,013.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,557.84 : 26,989.84 = 11,604 : x
  2. Step 2: Convert to fraction form
    19,557.84/26,989.84 = 11,604/x
  3. Step 3: Cross multiply
    19,557.84x = 26,989.84 × 11,604
  4. Step 4: Simplify right side
    19,557.84x = 313,190,103.36
  5. Step 5: Solve for x
    x = 313,190,103.36/19,557.84
  6. Step 6: Final answer
    x = 16,013.53

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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.