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Finding the Fourth Proportional to 18,842.68, 26,002.88 and 10,459.16

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Solution

The fourth proportional to 18,842.68, 26,002.88 and 10,459.16 is: 14,433.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,842.68 : 26,002.88 = 10,459.16 : x
  2. Step 2: Convert to fraction form
    18,842.68/26,002.88 = 10,459.16/x
  3. Step 3: Cross multiply
    18,842.68x = 26,002.88 × 10,459.16
  4. Step 4: Simplify right side
    18,842.68x = 271,968,282.38
  5. Step 5: Solve for x
    x = 271,968,282.38/18,842.68
  6. Step 6: Final answer
    x = 14,433.63

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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.