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Finding the Fourth Proportional to 23,539.68, 32,484.51 and 12,784.23

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Solution

The fourth proportional to 23,539.68, 32,484.51 and 12,784.23 is: 17,642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,539.68 : 32,484.51 = 12,784.23 : x
  2. Step 2: Convert to fraction form
    23,539.68/32,484.51 = 12,784.23/x
  3. Step 3: Cross multiply
    23,539.68x = 32,484.51 × 12,784.23
  4. Step 4: Simplify right side
    23,539.68x = 415,289,447.28
  5. Step 5: Solve for x
    x = 415,289,447.28/23,539.68
  6. Step 6: Final answer
    x = 17,642.10

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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.