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Finding the Fourth Proportional to 21,552.84, 29,762.58 and 16,238.46

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Solution

The fourth proportional to 21,552.84, 29,762.58 and 16,238.46 is: 22,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,552.84 : 29,762.58 = 16,238.46 : x
  2. Step 2: Convert to fraction form
    21,552.84/29,762.58 = 16,238.46/x
  3. Step 3: Cross multiply
    21,552.84x = 29,762.58 × 16,238.46
  4. Step 4: Simplify right side
    21,552.84x = 483,298,464.83
  5. Step 5: Solve for x
    x = 483,298,464.83/21,552.84
  6. Step 6: Final answer
    x = 22,423.89

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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.