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Finding the Fourth Proportional to 16,145.13, 22,282.11 and 9,432.93

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Solution

The fourth proportional to 16,145.13, 22,282.11 and 9,432.93 is: 13,018.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,145.13 : 22,282.11 = 9,432.93 : x
  2. Step 2: Convert to fraction form
    16,145.13/22,282.11 = 9,432.93/x
  3. Step 3: Cross multiply
    16,145.13x = 22,282.11 × 9,432.93
  4. Step 4: Simplify right side
    16,145.13x = 210,185,583.88
  5. Step 5: Solve for x
    x = 210,185,583.88/16,145.13
  6. Step 6: Final answer
    x = 13,018.51

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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.