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Finding the Fourth Proportional to 12,869.84, 19,303.68 and 5,944.32

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Solution

The fourth proportional to 12,869.84, 19,303.68 and 5,944.32 is: 8,915.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869.84 : 19,303.68 = 5,944.32 : x
  2. Step 2: Convert to fraction form
    12,869.84/19,303.68 = 5,944.32/x
  3. Step 3: Cross multiply
    12,869.84x = 19,303.68 × 5,944.32
  4. Step 4: Simplify right side
    12,869.84x = 114,747,251.10
  5. Step 5: Solve for x
    x = 114,747,251.10/12,869.84
  6. Step 6: Final answer
    x = 8,915.98

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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.