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Finding the Fourth Proportional to 22,416.68, 30,924.63 and 14,461.47

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Solution

The fourth proportional to 22,416.68, 30,924.63 and 14,461.47 is: 19,950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,416.68 : 30,924.63 = 14,461.47 : x
  2. Step 2: Convert to fraction form
    22,416.68/30,924.63 = 14,461.47/x
  3. Step 3: Cross multiply
    22,416.68x = 30,924.63 × 14,461.47
  4. Step 4: Simplify right side
    22,416.68x = 447,215,609.01
  5. Step 5: Solve for x
    x = 447,215,609.01/22,416.68
  6. Step 6: Final answer
    x = 19,950.13

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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.