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Finding the Fourth Proportional to 18,457, 27,697.02 and 7,513

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Solution

The fourth proportional to 18,457, 27,697.02 and 7,513 is: 11,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,457 : 27,697.02 = 7,513 : x
  2. Step 2: Convert to fraction form
    18,457/27,697.02 = 7,513/x
  3. Step 3: Cross multiply
    18,457x = 27,697.02 × 7,513
  4. Step 4: Simplify right side
    18,457x = 208,087,711.26
  5. Step 5: Solve for x
    x = 208,087,711.26/18,457
  6. Step 6: Final answer
    x = 11,274.19

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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.