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Finding the Fourth Proportional to 22,415.32, 30,926.64 and 14,462.20

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Solution

The fourth proportional to 22,415.32, 30,926.64 and 14,462.20 is: 19,953.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,415.32 : 30,926.64 = 14,462.20 : x
  2. Step 2: Convert to fraction form
    22,415.32/30,926.64 = 14,462.20/x
  3. Step 3: Cross multiply
    22,415.32x = 30,926.64 × 14,462.20
  4. Step 4: Simplify right side
    22,415.32x = 447,267,253.01
  5. Step 5: Solve for x
    x = 447,267,253.01/22,415.32
  6. Step 6: Final answer
    x = 19,953.64

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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.