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Finding the Fourth Proportional to 13,865.16, 19,134.36 and 9,145.92

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Solution

The fourth proportional to 13,865.16, 19,134.36 and 9,145.92 is: 12,621.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.16 : 19,134.36 = 9,145.92 : x
  2. Step 2: Convert to fraction form
    13,865.16/19,134.36 = 9,145.92/x
  3. Step 3: Cross multiply
    13,865.16x = 19,134.36 × 9,145.92
  4. Step 4: Simplify right side
    13,865.16x = 175,001,325.81
  5. Step 5: Solve for x
    x = 175,001,325.81/13,865.16
  6. Step 6: Final answer
    x = 12,621.66

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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.