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Finding the Fourth Proportional to 23,299, 32,154.78 and 13,363

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Solution

The fourth proportional to 23,299, 32,154.78 and 13,363 is: 18,442.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,299 : 32,154.78 = 13,363 : x
  2. Step 2: Convert to fraction form
    23,299/32,154.78 = 13,363/x
  3. Step 3: Cross multiply
    23,299x = 32,154.78 × 13,363
  4. Step 4: Simplify right side
    23,299x = 429,684,325.14
  5. Step 5: Solve for x
    x = 429,684,325.14/23,299
  6. Step 6: Final answer
    x = 18,442.18

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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.