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Finding the Fourth Proportional to 21,877.30, 32,815.95 and 16,002.10

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Solution

The fourth proportional to 21,877.30, 32,815.95 and 16,002.10 is: 24,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,877.30 : 32,815.95 = 16,002.10 : x
  2. Step 2: Convert to fraction form
    21,877.30/32,815.95 = 16,002.10/x
  3. Step 3: Cross multiply
    21,877.30x = 32,815.95 × 16,002.10
  4. Step 4: Simplify right side
    21,877.30x = 525,124,113.50
  5. Step 5: Solve for x
    x = 525,124,113.50/21,877.30
  6. Step 6: Final answer
    x = 24,003.15

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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.