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Finding the Fourth Proportional to 14,905.40, 22,358.10 and 11,449.40

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Solution

The fourth proportional to 14,905.40, 22,358.10 and 11,449.40 is: 17,174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,905.40 : 22,358.10 = 11,449.40 : x
  2. Step 2: Convert to fraction form
    14,905.40/22,358.10 = 11,449.40/x
  3. Step 3: Cross multiply
    14,905.40x = 22,358.10 × 11,449.40
  4. Step 4: Simplify right side
    14,905.40x = 255,986,830.14
  5. Step 5: Solve for x
    x = 255,986,830.14/14,905.40
  6. Step 6: Final answer
    x = 17,174.10

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1.5x scale

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.