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Finding the Fourth Proportional to 12,912.12, 19,368.45 and 9,648.90

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Solution

The fourth proportional to 12,912.12, 19,368.45 and 9,648.90 is: 14,473.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.12 : 19,368.45 = 9,648.90 : x
  2. Step 2: Convert to fraction form
    12,912.12/19,368.45 = 9,648.90/x
  3. Step 3: Cross multiply
    12,912.12x = 19,368.45 × 9,648.90
  4. Step 4: Simplify right side
    12,912.12x = 186,884,237.21
  5. Step 5: Solve for x
    x = 186,884,237.21/12,912.12
  6. Step 6: Final answer
    x = 14,473.55

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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.