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Finding the Fourth Proportional to 23,455.83, 35,164.37 and 10,969.71

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Solution

The fourth proportional to 23,455.83, 35,164.37 and 10,969.71 is: 16,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,455.83 : 35,164.37 = 10,969.71 : x
  2. Step 2: Convert to fraction form
    23,455.83/35,164.37 = 10,969.71/x
  3. Step 3: Cross multiply
    23,455.83x = 35,164.37 × 10,969.71
  4. Step 4: Simplify right side
    23,455.83x = 385,742,886.38
  5. Step 5: Solve for x
    x = 385,742,886.38/23,455.83
  6. Step 6: Final answer
    x = 16,445.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.