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Finding the Fourth Proportional to 13,017.84, 19,423.44 and 12,719.20

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Solution

The fourth proportional to 13,017.84, 19,423.44 and 12,719.20 is: 18,977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017.84 : 19,423.44 = 12,719.20 : x
  2. Step 2: Convert to fraction form
    13,017.84/19,423.44 = 12,719.20/x
  3. Step 3: Cross multiply
    13,017.84x = 19,423.44 × 12,719.20
  4. Step 4: Simplify right side
    13,017.84x = 247,050,618.05
  5. Step 5: Solve for x
    x = 247,050,618.05/13,017.84
  6. Step 6: Final answer
    x = 18,977.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.