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Finding the Fourth Proportional to 13,800.84, 19,045.50 and 7,513.56

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Solution

The fourth proportional to 13,800.84, 19,045.50 and 7,513.56 is: 10,368.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.84 : 19,045.50 = 7,513.56 : x
  2. Step 2: Convert to fraction form
    13,800.84/19,045.50 = 7,513.56/x
  3. Step 3: Cross multiply
    13,800.84x = 19,045.50 × 7,513.56
  4. Step 4: Simplify right side
    13,800.84x = 143,099,506.98
  5. Step 5: Solve for x
    x = 143,099,506.98/13,800.84
  6. Step 6: Final answer
    x = 10,368.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.