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Finding the Fourth Proportional to 12,308.42, 16,985.48 and 7,003.24

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Solution

The fourth proportional to 12,308.42, 16,985.48 and 7,003.24 is: 9,664.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308.42 : 16,985.48 = 7,003.24 : x
  2. Step 2: Convert to fraction form
    12,308.42/16,985.48 = 7,003.24/x
  3. Step 3: Cross multiply
    12,308.42x = 16,985.48 × 7,003.24
  4. Step 4: Simplify right side
    12,308.42x = 118,953,392.96
  5. Step 5: Solve for x
    x = 118,953,392.96/12,308.42
  6. Step 6: Final answer
    x = 9,664.39

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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.