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Finding the Fourth Proportional to 14,973.40, 22,435.80 and 9,416.80

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Solution

The fourth proportional to 14,973.40, 22,435.80 and 9,416.80 is: 14,109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,973.40 : 22,435.80 = 9,416.80 : x
  2. Step 2: Convert to fraction form
    14,973.40/22,435.80 = 9,416.80/x
  3. Step 3: Cross multiply
    14,973.40x = 22,435.80 × 9,416.80
  4. Step 4: Simplify right side
    14,973.40x = 211,273,441.44
  5. Step 5: Solve for x
    x = 211,273,441.44/14,973.40
  6. Step 6: Final answer
    x = 14,109.92

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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.