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Finding the Fourth Proportional to 23,376.64, 35,030.64 and 11,673.76

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Solution

The fourth proportional to 23,376.64, 35,030.64 and 11,673.76 is: 17,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,376.64 : 35,030.64 = 11,673.76 : x
  2. Step 2: Convert to fraction form
    23,376.64/35,030.64 = 11,673.76/x
  3. Step 3: Cross multiply
    23,376.64x = 35,030.64 × 11,673.76
  4. Step 4: Simplify right side
    23,376.64x = 408,939,284.01
  5. Step 5: Solve for x
    x = 408,939,284.01/23,376.64
  6. Step 6: Final answer
    x = 17,493.50

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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.