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Finding the Fourth Proportional to 12,457.68, 18,693.84 and 11,495.52

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Solution

The fourth proportional to 12,457.68, 18,693.84 and 11,495.52 is: 17,250.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.68 : 18,693.84 = 11,495.52 : x
  2. Step 2: Convert to fraction form
    12,457.68/18,693.84 = 11,495.52/x
  3. Step 3: Cross multiply
    12,457.68x = 18,693.84 × 11,495.52
  4. Step 4: Simplify right side
    12,457.68x = 214,895,411.60
  5. Step 5: Solve for x
    x = 214,895,411.60/12,457.68
  6. Step 6: Final answer
    x = 17,250.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.