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Finding the Fourth Proportional to 23,709.51, 32,722.55 and 14,149.80

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Solution

The fourth proportional to 23,709.51, 32,722.55 and 14,149.80 is: 19,528.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,709.51 : 32,722.55 = 14,149.80 : x
  2. Step 2: Convert to fraction form
    23,709.51/32,722.55 = 14,149.80/x
  3. Step 3: Cross multiply
    23,709.51x = 32,722.55 × 14,149.80
  4. Step 4: Simplify right side
    23,709.51x = 463,017,537.99
  5. Step 5: Solve for x
    x = 463,017,537.99/23,709.51
  6. Step 6: Final answer
    x = 19,528.77

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