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Finding the Fourth Proportional to 14,602.86, 21,894.30 and 5,242.68

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Solution

The fourth proportional to 14,602.86, 21,894.30 and 5,242.68 is: 7,860.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.86 : 21,894.30 = 5,242.68 : x
  2. Step 2: Convert to fraction form
    14,602.86/21,894.30 = 5,242.68/x
  3. Step 3: Cross multiply
    14,602.86x = 21,894.30 × 5,242.68
  4. Step 4: Simplify right side
    14,602.86x = 114,784,808.72
  5. Step 5: Solve for x
    x = 114,784,808.72/14,602.86
  6. Step 6: Final answer
    x = 7,860.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.