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Finding the Fourth Proportional to 19,973, 27,562.74 and 11,141

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Solution

The fourth proportional to 19,973, 27,562.74 and 11,141 is: 15,374.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,973 : 27,562.74 = 11,141 : x
  2. Step 2: Convert to fraction form
    19,973/27,562.74 = 11,141/x
  3. Step 3: Cross multiply
    19,973x = 27,562.74 × 11,141
  4. Step 4: Simplify right side
    19,973x = 307,076,486.34
  5. Step 5: Solve for x
    x = 307,076,486.34/19,973
  6. Step 6: Final answer
    x = 15,374.58

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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.