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Finding the Fourth Proportional to 16,284.84, 22,453.38 and 13,762.50

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Solution

The fourth proportional to 16,284.84, 22,453.38 and 13,762.50 is: 18,975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.84 : 22,453.38 = 13,762.50 : x
  2. Step 2: Convert to fraction form
    16,284.84/22,453.38 = 13,762.50/x
  3. Step 3: Cross multiply
    16,284.84x = 22,453.38 × 13,762.50
  4. Step 4: Simplify right side
    16,284.84x = 309,014,642.25
  5. Step 5: Solve for x
    x = 309,014,642.25/16,284.84
  6. Step 6: Final answer
    x = 18,975.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.