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Finding the Fourth Proportional to 14,929.34, 20,605.38 and 9,893.84

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Solution

The fourth proportional to 14,929.34, 20,605.38 and 9,893.84 is: 13,655.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,929.34 : 20,605.38 = 9,893.84 : x
  2. Step 2: Convert to fraction form
    14,929.34/20,605.38 = 9,893.84/x
  3. Step 3: Cross multiply
    14,929.34x = 20,605.38 × 9,893.84
  4. Step 4: Simplify right side
    14,929.34x = 203,866,332.86
  5. Step 5: Solve for x
    x = 203,866,332.86/14,929.34
  6. Step 6: Final answer
    x = 13,655.41

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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.