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Finding the Fourth Proportional to 13,145.57, 18,140.93 and 8,429.87

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Solution

The fourth proportional to 13,145.57, 18,140.93 and 8,429.87 is: 11,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,145.57 : 18,140.93 = 8,429.87 : x
  2. Step 2: Convert to fraction form
    13,145.57/18,140.93 = 8,429.87/x
  3. Step 3: Cross multiply
    13,145.57x = 18,140.93 × 8,429.87
  4. Step 4: Simplify right side
    13,145.57x = 152,925,748.01
  5. Step 5: Solve for x
    x = 152,925,748.01/13,145.57
  6. Step 6: Final answer
    x = 11,633.25

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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.