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Finding the Fourth Proportional to 23,789.50, 32,829.51 and 14,358.06

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Solution

The fourth proportional to 23,789.50, 32,829.51 and 14,358.06 is: 19,814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,789.50 : 32,829.51 = 14,358.06 : x
  2. Step 2: Convert to fraction form
    23,789.50/32,829.51 = 14,358.06/x
  3. Step 3: Cross multiply
    23,789.50x = 32,829.51 × 14,358.06
  4. Step 4: Simplify right side
    23,789.50x = 471,368,074.35
  5. Step 5: Solve for x
    x = 471,368,074.35/23,789.50
  6. Step 6: Final answer
    x = 19,814.12

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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.