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Finding the Fourth Proportional to 12,374.22, 17,059.14 and 10,478.28

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Solution

The fourth proportional to 12,374.22, 17,059.14 and 10,478.28 is: 14,445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.22 : 17,059.14 = 10,478.28 : x
  2. Step 2: Convert to fraction form
    12,374.22/17,059.14 = 10,478.28/x
  3. Step 3: Cross multiply
    12,374.22x = 17,059.14 × 10,478.28
  4. Step 4: Simplify right side
    12,374.22x = 178,750,445.48
  5. Step 5: Solve for x
    x = 178,750,445.48/12,374.22
  6. Step 6: Final answer
    x = 14,445.39

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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.