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Finding the Fourth Proportional to 15,361.32, 23,041.17 and 7,567.50

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Solution

The fourth proportional to 15,361.32, 23,041.17 and 7,567.50 is: 11,350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,361.32 : 23,041.17 = 7,567.50 : x
  2. Step 2: Convert to fraction form
    15,361.32/23,041.17 = 7,567.50/x
  3. Step 3: Cross multiply
    15,361.32x = 23,041.17 × 7,567.50
  4. Step 4: Simplify right side
    15,361.32x = 174,364,053.98
  5. Step 5: Solve for x
    x = 174,364,053.98/15,361.32
  6. Step 6: Final answer
    x = 11,350.85

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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.