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Finding the Fourth Proportional to 21,602.50, 32,361.80 and 14,184.45

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Solution

The fourth proportional to 21,602.50, 32,361.80 and 14,184.45 is: 21,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,602.50 : 32,361.80 = 14,184.45 : x
  2. Step 2: Convert to fraction form
    21,602.50/32,361.80 = 14,184.45/x
  3. Step 3: Cross multiply
    21,602.50x = 32,361.80 × 14,184.45
  4. Step 4: Simplify right side
    21,602.50x = 459,034,263.09
  5. Step 5: Solve for x
    x = 459,034,263.09/21,602.50
  6. Step 6: Final answer
    x = 21,249.13

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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.