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Finding the Fourth Proportional to 14,138.18, 21,174.45 and 13,646.12

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Solution

The fourth proportional to 14,138.18, 21,174.45 and 13,646.12 is: 20,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.18 : 21,174.45 = 13,646.12 : x
  2. Step 2: Convert to fraction form
    14,138.18/21,174.45 = 13,646.12/x
  3. Step 3: Cross multiply
    14,138.18x = 21,174.45 × 13,646.12
  4. Step 4: Simplify right side
    14,138.18x = 288,949,085.63
  5. Step 5: Solve for x
    x = 288,949,085.63/14,138.18
  6. Step 6: Final answer
    x = 20,437.50

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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.