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Finding the Fourth Proportional to 23,043.84, 34,567.80 and 9,893.16

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Solution

The fourth proportional to 23,043.84, 34,567.80 and 9,893.16 is: 14,840.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,043.84 : 34,567.80 = 9,893.16 : x
  2. Step 2: Convert to fraction form
    23,043.84/34,567.80 = 9,893.16/x
  3. Step 3: Cross multiply
    23,043.84x = 34,567.80 × 9,893.16
  4. Step 4: Simplify right side
    23,043.84x = 341,984,776.25
  5. Step 5: Solve for x
    x = 341,984,776.25/23,043.84
  6. Step 6: Final answer
    x = 14,840.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.