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Finding the Fourth Proportional to 16,289.16, 22,477.84 and 10,001.60

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Solution

The fourth proportional to 16,289.16, 22,477.84 and 10,001.60 is: 13,801.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.16 : 22,477.84 = 10,001.60 : x
  2. Step 2: Convert to fraction form
    16,289.16/22,477.84 = 10,001.60/x
  3. Step 3: Cross multiply
    16,289.16x = 22,477.84 × 10,001.60
  4. Step 4: Simplify right side
    16,289.16x = 224,814,364.54
  5. Step 5: Solve for x
    x = 224,814,364.54/16,289.16
  6. Step 6: Final answer
    x = 13,801.47

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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.