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Finding the Fourth Proportional to 12,878.81, 19,293.70 and 7,335.98

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Solution

The fourth proportional to 12,878.81, 19,293.70 and 7,335.98 is: 10,990.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.81 : 19,293.70 = 7,335.98 : x
  2. Step 2: Convert to fraction form
    12,878.81/19,293.70 = 7,335.98/x
  3. Step 3: Cross multiply
    12,878.81x = 19,293.70 × 7,335.98
  4. Step 4: Simplify right side
    12,878.81x = 141,538,160.65
  5. Step 5: Solve for x
    x = 141,538,160.65/12,878.81
  6. Step 6: Final answer
    x = 10,990.00

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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.