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Finding the Fourth Proportional to 14,749.60, 22,124.40 and 14,166.40

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Solution

The fourth proportional to 14,749.60, 22,124.40 and 14,166.40 is: 21,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,749.60 : 22,124.40 = 14,166.40 : x
  2. Step 2: Convert to fraction form
    14,749.60/22,124.40 = 14,166.40/x
  3. Step 3: Cross multiply
    14,749.60x = 22,124.40 × 14,166.40
  4. Step 4: Simplify right side
    14,749.60x = 313,423,100.16
  5. Step 5: Solve for x
    x = 313,423,100.16/14,749.60
  6. Step 6: Final answer
    x = 21,249.60

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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.