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Finding the Fourth Proportional to 18,090, 24,962.16 and 10,537.92

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Solution

The fourth proportional to 18,090, 24,962.16 and 10,537.92 is: 14,541.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,090 : 24,962.16 = 10,537.92 : x
  2. Step 2: Convert to fraction form
    18,090/24,962.16 = 10,537.92/x
  3. Step 3: Cross multiply
    18,090x = 24,962.16 × 10,537.92
  4. Step 4: Simplify right side
    18,090x = 263,049,245.11
  5. Step 5: Solve for x
    x = 263,049,245.11/18,090
  6. Step 6: Final answer
    x = 14,541.14

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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.