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Finding the Fourth Proportional to 13,002.99, 19,455.74 and 7,718.66

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Solution

The fourth proportional to 13,002.99, 19,455.74 and 7,718.66 is: 11,549.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.99 : 19,455.74 = 7,718.66 : x
  2. Step 2: Convert to fraction form
    13,002.99/19,455.74 = 7,718.66/x
  3. Step 3: Cross multiply
    13,002.99x = 19,455.74 × 7,718.66
  4. Step 4: Simplify right side
    13,002.99x = 150,172,106.24
  5. Step 5: Solve for x
    x = 150,172,106.24/13,002.99
  6. Step 6: Final answer
    x = 11,549.04

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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.