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Finding the Fourth Proportional to 23,294.51, 32,147 and 12,684.72

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Solution

The fourth proportional to 23,294.51, 32,147 and 12,684.72 is: 17,505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,294.51 : 32,147 = 12,684.72 : x
  2. Step 2: Convert to fraction form
    23,294.51/32,147 = 12,684.72/x
  3. Step 3: Cross multiply
    23,294.51x = 32,147 × 12,684.72
  4. Step 4: Simplify right side
    23,294.51x = 407,775,693.84
  5. Step 5: Solve for x
    x = 407,775,693.84/23,294.51
  6. Step 6: Final answer
    x = 17,505.23

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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.