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Finding the Fourth Proportional to 16,205.60, 22,357.58 and 10,235

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Solution

The fourth proportional to 16,205.60, 22,357.58 and 10,235 is: 14,120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.60 : 22,357.58 = 10,235 : x
  2. Step 2: Convert to fraction form
    16,205.60/22,357.58 = 10,235/x
  3. Step 3: Cross multiply
    16,205.60x = 22,357.58 × 10,235
  4. Step 4: Simplify right side
    16,205.60x = 228,829,831.30
  5. Step 5: Solve for x
    x = 228,829,831.30/16,205.60
  6. Step 6: Final answer
    x = 14,120.42

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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.