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Finding the Fourth Proportional to 17,858, 24,632.93 and 11,492.90

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Solution

The fourth proportional to 17,858, 24,632.93 and 11,492.90 is: 15,853.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,858 : 24,632.93 = 11,492.90 : x
  2. Step 2: Convert to fraction form
    17,858/24,632.93 = 11,492.90/x
  3. Step 3: Cross multiply
    17,858x = 24,632.93 × 11,492.90
  4. Step 4: Simplify right side
    17,858x = 283,103,743.73
  5. Step 5: Solve for x
    x = 283,103,743.73/17,858
  6. Step 6: Final answer
    x = 15,853.05

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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.