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Finding the Fourth Proportional to 13,130.68, 19,696.42 and 4,366.48

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Solution

The fourth proportional to 13,130.68, 19,696.42 and 4,366.48 is: 6,549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.68 : 19,696.42 = 4,366.48 : x
  2. Step 2: Convert to fraction form
    13,130.68/19,696.42 = 4,366.48/x
  3. Step 3: Cross multiply
    13,130.68x = 19,696.42 × 4,366.48
  4. Step 4: Simplify right side
    13,130.68x = 86,004,024.00
  5. Step 5: Solve for x
    x = 86,004,024.00/13,130.68
  6. Step 6: Final answer
    x = 6,549.85

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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.