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Finding the Fourth Proportional to 23,462.53, 32,370.53 and 14,384.53

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Solution

The fourth proportional to 23,462.53, 32,370.53 and 14,384.53 is: 19,845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,462.53 : 32,370.53 = 14,384.53 : x
  2. Step 2: Convert to fraction form
    23,462.53/32,370.53 = 14,384.53/x
  3. Step 3: Cross multiply
    23,462.53x = 32,370.53 × 14,384.53
  4. Step 4: Simplify right side
    23,462.53x = 465,634,734.01
  5. Step 5: Solve for x
    x = 465,634,734.01/23,462.53
  6. Step 6: Final answer
    x = 19,845.89

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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.