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Finding the Fourth Proportional to 22,416.63, 30,924.55 and 14,461.42

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Solution

The fourth proportional to 22,416.63, 30,924.55 and 14,461.42 is: 19,950.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,416.63 : 30,924.55 = 14,461.42 : x
  2. Step 2: Convert to fraction form
    22,416.63/30,924.55 = 14,461.42/x
  3. Step 3: Cross multiply
    22,416.63x = 30,924.55 × 14,461.42
  4. Step 4: Simplify right side
    22,416.63x = 447,212,905.86
  5. Step 5: Solve for x
    x = 447,212,905.86/22,416.63
  6. Step 6: Final answer
    x = 19,950.05

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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.