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Finding the Fourth Proportional to 14,017.86, 21,027 and 6,011.58

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Solution

The fourth proportional to 14,017.86, 21,027 and 6,011.58 is: 9,017.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,017.86 : 21,027 = 6,011.58 : x
  2. Step 2: Convert to fraction form
    14,017.86/21,027 = 6,011.58/x
  3. Step 3: Cross multiply
    14,017.86x = 21,027 × 6,011.58
  4. Step 4: Simplify right side
    14,017.86x = 126,405,492.66
  5. Step 5: Solve for x
    x = 126,405,492.66/14,017.86
  6. Step 6: Final answer
    x = 9,017.46

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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.