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Finding the Fourth Proportional to 16,913.16, 23,335.95 and 10,202.71

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Solution

The fourth proportional to 16,913.16, 23,335.95 and 10,202.71 is: 14,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,913.16 : 23,335.95 = 10,202.71 : x
  2. Step 2: Convert to fraction form
    16,913.16/23,335.95 = 10,202.71/x
  3. Step 3: Cross multiply
    16,913.16x = 23,335.95 × 10,202.71
  4. Step 4: Simplify right side
    16,913.16x = 238,089,930.42
  5. Step 5: Solve for x
    x = 238,089,930.42/16,913.16
  6. Step 6: Final answer
    x = 14,077.20

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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.