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Finding the Fourth Proportional to 14,235.86, 21,353.91 and 13,164.50

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Solution

The fourth proportional to 14,235.86, 21,353.91 and 13,164.50 is: 19,746.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,235.86 : 21,353.91 = 13,164.50 : x
  2. Step 2: Convert to fraction form
    14,235.86/21,353.91 = 13,164.50/x
  3. Step 3: Cross multiply
    14,235.86x = 21,353.91 × 13,164.50
  4. Step 4: Simplify right side
    14,235.86x = 281,113,548.20
  5. Step 5: Solve for x
    x = 281,113,548.20/14,235.86
  6. Step 6: Final answer
    x = 19,746.86

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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.