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Finding the Fourth Proportional to 12,457.35, 17,189.46 and 7,152.44

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Solution

The fourth proportional to 12,457.35, 17,189.46 and 7,152.44 is: 9,869.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.35 : 17,189.46 = 7,152.44 : x
  2. Step 2: Convert to fraction form
    12,457.35/17,189.46 = 7,152.44/x
  3. Step 3: Cross multiply
    12,457.35x = 17,189.46 × 7,152.44
  4. Step 4: Simplify right side
    12,457.35x = 122,946,495.34
  5. Step 5: Solve for x
    x = 122,946,495.34/12,457.35
  6. Step 6: Final answer
    x = 9,869.39

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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.