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Finding the Fourth Proportional to 16,361.04, 24,504.64 and 7,577.50

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Solution

The fourth proportional to 16,361.04, 24,504.64 and 7,577.50 is: 11,349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,361.04 : 24,504.64 = 7,577.50 : x
  2. Step 2: Convert to fraction form
    16,361.04/24,504.64 = 7,577.50/x
  3. Step 3: Cross multiply
    16,361.04x = 24,504.64 × 7,577.50
  4. Step 4: Simplify right side
    16,361.04x = 185,683,909.60
  5. Step 5: Solve for x
    x = 185,683,909.60/16,361.04
  6. Step 6: Final answer
    x = 11,349.15

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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.