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Finding the Fourth Proportional to 23,394.84, 32,284.16 and 12,784.46

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Solution

The fourth proportional to 23,394.84, 32,284.16 and 12,784.46 is: 17,642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,394.84 : 32,284.16 = 12,784.46 : x
  2. Step 2: Convert to fraction form
    23,394.84/32,284.16 = 12,784.46/x
  3. Step 3: Cross multiply
    23,394.84x = 32,284.16 × 12,784.46
  4. Step 4: Simplify right side
    23,394.84x = 412,735,552.15
  5. Step 5: Solve for x
    x = 412,735,552.15/23,394.84
  6. Step 6: Final answer
    x = 17,642.16

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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.