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Finding the Fourth Proportional to 21,738.55, 32,548.55 and 16,457.59

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Solution

The fourth proportional to 21,738.55, 32,548.55 and 16,457.59 is: 24,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,738.55 : 32,548.55 = 16,457.59 : x
  2. Step 2: Convert to fraction form
    21,738.55/32,548.55 = 16,457.59/x
  3. Step 3: Cross multiply
    21,738.55x = 32,548.55 × 16,457.59
  4. Step 4: Simplify right side
    21,738.55x = 535,670,527.34
  5. Step 5: Solve for x
    x = 535,670,527.34/21,738.55
  6. Step 6: Final answer
    x = 24,641.50

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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.