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Finding the Fourth Proportional to 14,941.70, 22,412.55 and 9,109.70

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Solution

The fourth proportional to 14,941.70, 22,412.55 and 9,109.70 is: 13,664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,941.70 : 22,412.55 = 9,109.70 : x
  2. Step 2: Convert to fraction form
    14,941.70/22,412.55 = 9,109.70/x
  3. Step 3: Cross multiply
    14,941.70x = 22,412.55 × 9,109.70
  4. Step 4: Simplify right side
    14,941.70x = 204,171,606.74
  5. Step 5: Solve for x
    x = 204,171,606.74/14,941.70
  6. Step 6: Final answer
    x = 13,664.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.