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Finding the Fourth Proportional to 12,969.29, 19,435.53 and 9,996.50

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Solution

The fourth proportional to 12,969.29, 19,435.53 and 9,996.50 is: 14,980.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.29 : 19,435.53 = 9,996.50 : x
  2. Step 2: Convert to fraction form
    12,969.29/19,435.53 = 9,996.50/x
  3. Step 3: Cross multiply
    12,969.29x = 19,435.53 × 9,996.50
  4. Step 4: Simplify right side
    12,969.29x = 194,287,275.65
  5. Step 5: Solve for x
    x = 194,287,275.65/12,969.29
  6. Step 6: Final answer
    x = 14,980.56

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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.