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Finding the Fourth Proportional to 14,419.60, 21,633 and 4,031.26

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Solution

The fourth proportional to 14,419.60, 21,633 and 4,031.26 is: 6,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.60 : 21,633 = 4,031.26 : x
  2. Step 2: Convert to fraction form
    14,419.60/21,633 = 4,031.26/x
  3. Step 3: Cross multiply
    14,419.60x = 21,633 × 4,031.26
  4. Step 4: Simplify right side
    14,419.60x = 87,208,247.58
  5. Step 5: Solve for x
    x = 87,208,247.58/14,419.60
  6. Step 6: Final answer
    x = 6,047.90

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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.