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Finding the Fourth Proportional to 16,106.18, 22,223.97 and 10,448.68

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Solution

The fourth proportional to 16,106.18, 22,223.97 and 10,448.68 is: 14,417.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,106.18 : 22,223.97 = 10,448.68 : x
  2. Step 2: Convert to fraction form
    16,106.18/22,223.97 = 10,448.68/x
  3. Step 3: Cross multiply
    16,106.18x = 22,223.97 × 10,448.68
  4. Step 4: Simplify right side
    16,106.18x = 232,211,150.86
  5. Step 5: Solve for x
    x = 232,211,150.86/16,106.18
  6. Step 6: Final answer
    x = 14,417.52

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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.