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Finding the Fourth Proportional to 13,007.84, 19,511.74 and 10,050.58

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Solution

The fourth proportional to 13,007.84, 19,511.74 and 10,050.58 is: 15,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.84 : 19,511.74 = 10,050.58 : x
  2. Step 2: Convert to fraction form
    13,007.84/19,511.74 = 10,050.58/x
  3. Step 3: Cross multiply
    13,007.84x = 19,511.74 × 10,050.58
  4. Step 4: Simplify right side
    13,007.84x = 196,104,284.23
  5. Step 5: Solve for x
    x = 196,104,284.23/13,007.84
  6. Step 6: Final answer
    x = 15,075.85

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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.