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Finding the Fourth Proportional to 23,438.48, 32,346 and 12,829.04

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Solution

The fourth proportional to 23,438.48, 32,346 and 12,829.04 is: 17,704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,438.48 : 32,346 = 12,829.04 : x
  2. Step 2: Convert to fraction form
    23,438.48/32,346 = 12,829.04/x
  3. Step 3: Cross multiply
    23,438.48x = 32,346 × 12,829.04
  4. Step 4: Simplify right side
    23,438.48x = 414,968,127.84
  5. Step 5: Solve for x
    x = 414,968,127.84/23,438.48
  6. Step 6: Final answer
    x = 17,704.57

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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.