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Finding the Fourth Proportional to 22,024.74, 30,393.64 and 11,953.20

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Solution

The fourth proportional to 22,024.74, 30,393.64 and 11,953.20 is: 16,495.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,024.74 : 30,393.64 = 11,953.20 : x
  2. Step 2: Convert to fraction form
    22,024.74/30,393.64 = 11,953.20/x
  3. Step 3: Cross multiply
    22,024.74x = 30,393.64 × 11,953.20
  4. Step 4: Simplify right side
    22,024.74x = 363,301,257.65
  5. Step 5: Solve for x
    x = 363,301,257.65/22,024.74
  6. Step 6: Final answer
    x = 16,495.14

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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.