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Finding the Fourth Proportional to 23,567.84, 32,523 and 12,957.56

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Solution

The fourth proportional to 23,567.84, 32,523 and 12,957.56 is: 17,881.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,567.84 : 32,523 = 12,957.56 : x
  2. Step 2: Convert to fraction form
    23,567.84/32,523 = 12,957.56/x
  3. Step 3: Cross multiply
    23,567.84x = 32,523 × 12,957.56
  4. Step 4: Simplify right side
    23,567.84x = 421,418,723.88
  5. Step 5: Solve for x
    x = 421,418,723.88/23,567.84
  6. Step 6: Final answer
    x = 17,881.09

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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.