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Finding the Fourth Proportional to 15,735.68, 23,583.52 and 7,397.36

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Solution

The fourth proportional to 15,735.68, 23,583.52 and 7,397.36 is: 11,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.68 : 23,583.52 = 7,397.36 : x
  2. Step 2: Convert to fraction form
    15,735.68/23,583.52 = 7,397.36/x
  3. Step 3: Cross multiply
    15,735.68x = 23,583.52 × 7,397.36
  4. Step 4: Simplify right side
    15,735.68x = 174,455,787.51
  5. Step 5: Solve for x
    x = 174,455,787.51/15,735.68
  6. Step 6: Final answer
    x = 11,086.64

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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.