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Finding the Fourth Proportional to 21,501.90, 29,674.08 and 16,188.30

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Solution

The fourth proportional to 21,501.90, 29,674.08 and 16,188.30 is: 22,340.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,501.90 : 29,674.08 = 16,188.30 : x
  2. Step 2: Convert to fraction form
    21,501.90/29,674.08 = 16,188.30/x
  3. Step 3: Cross multiply
    21,501.90x = 29,674.08 × 16,188.30
  4. Step 4: Simplify right side
    21,501.90x = 480,372,909.26
  5. Step 5: Solve for x
    x = 480,372,909.26/21,501.90
  6. Step 6: Final answer
    x = 22,340.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.