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Finding the Fourth Proportional to 12,966.92, 19,437.74 and 7,038.44

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Solution

The fourth proportional to 12,966.92, 19,437.74 and 7,038.44 is: 10,550.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966.92 : 19,437.74 = 7,038.44 : x
  2. Step 2: Convert to fraction form
    12,966.92/19,437.74 = 7,038.44/x
  3. Step 3: Cross multiply
    12,966.92x = 19,437.74 × 7,038.44
  4. Step 4: Simplify right side
    12,966.92x = 136,811,331.53
  5. Step 5: Solve for x
    x = 136,811,331.53/12,966.92
  6. Step 6: Final answer
    x = 10,550.80

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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.