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Finding the Fourth Proportional to 16,303.77, 22,412.58 and 14,026.74

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Solution

The fourth proportional to 16,303.77, 22,412.58 and 14,026.74 is: 19,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,303.77 : 22,412.58 = 14,026.74 : x
  2. Step 2: Convert to fraction form
    16,303.77/22,412.58 = 14,026.74/x
  3. Step 3: Cross multiply
    16,303.77x = 22,412.58 × 14,026.74
  4. Step 4: Simplify right side
    16,303.77x = 314,375,432.39
  5. Step 5: Solve for x
    x = 314,375,432.39/16,303.77
  6. Step 6: Final answer
    x = 19,282.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.