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Finding the Fourth Proportional to 21,627, 29,848.50 and 13,248.36

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Solution

The fourth proportional to 21,627, 29,848.50 and 13,248.36 is: 18,284.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,627 : 29,848.50 = 13,248.36 : x
  2. Step 2: Convert to fraction form
    21,627/29,848.50 = 13,248.36/x
  3. Step 3: Cross multiply
    21,627x = 29,848.50 × 13,248.36
  4. Step 4: Simplify right side
    21,627x = 395,443,673.46
  5. Step 5: Solve for x
    x = 395,443,673.46/21,627
  6. Step 6: Final answer
    x = 18,284.72

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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.