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Finding the Fourth Proportional to 19,978.16, 27,569.70 and 11,026.04

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Solution

The fourth proportional to 19,978.16, 27,569.70 and 11,026.04 is: 15,215.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.16 : 27,569.70 = 11,026.04 : x
  2. Step 2: Convert to fraction form
    19,978.16/27,569.70 = 11,026.04/x
  3. Step 3: Cross multiply
    19,978.16x = 27,569.70 × 11,026.04
  4. Step 4: Simplify right side
    19,978.16x = 303,984,477.14
  5. Step 5: Solve for x
    x = 303,984,477.14/19,978.16
  6. Step 6: Final answer
    x = 15,215.84

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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.