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Finding the Fourth Proportional to 13,048.99, 19,574.76 and 3,689.08

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Solution

The fourth proportional to 13,048.99, 19,574.76 and 3,689.08 is: 5,533.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,048.99 : 19,574.76 = 3,689.08 : x
  2. Step 2: Convert to fraction form
    13,048.99/19,574.76 = 3,689.08/x
  3. Step 3: Cross multiply
    13,048.99x = 19,574.76 × 3,689.08
  4. Step 4: Simplify right side
    13,048.99x = 72,212,855.62
  5. Step 5: Solve for x
    x = 72,212,855.62/13,048.99
  6. Step 6: Final answer
    x = 5,533.98

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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.