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Finding the Fourth Proportional to 22,347.60, 30,838.48 and 12,277.40

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Solution

The fourth proportional to 22,347.60, 30,838.48 and 12,277.40 is: 16,942.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,347.60 : 30,838.48 = 12,277.40 : x
  2. Step 2: Convert to fraction form
    22,347.60/30,838.48 = 12,277.40/x
  3. Step 3: Cross multiply
    22,347.60x = 30,838.48 × 12,277.40
  4. Step 4: Simplify right side
    22,347.60x = 378,616,354.35
  5. Step 5: Solve for x
    x = 378,616,354.35/22,347.60
  6. Step 6: Final answer
    x = 16,942.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.