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Finding the Fourth Proportional to 13,122.88, 19,667.68 and 12,984

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Solution

The fourth proportional to 13,122.88, 19,667.68 and 12,984 is: 19,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.88 : 19,667.68 = 12,984 : x
  2. Step 2: Convert to fraction form
    13,122.88/19,667.68 = 12,984/x
  3. Step 3: Cross multiply
    13,122.88x = 19,667.68 × 12,984
  4. Step 4: Simplify right side
    13,122.88x = 255,365,157.12
  5. Step 5: Solve for x
    x = 255,365,157.12/13,122.88
  6. Step 6: Final answer
    x = 19,459.54

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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.