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Finding the Fourth Proportional to 21,376.15, 32,031.41 and 13,043.68

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Solution

The fourth proportional to 21,376.15, 32,031.41 and 13,043.68 is: 19,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,376.15 : 32,031.41 = 13,043.68 : x
  2. Step 2: Convert to fraction form
    21,376.15/32,031.41 = 13,043.68/x
  3. Step 3: Cross multiply
    21,376.15x = 32,031.41 × 13,043.68
  4. Step 4: Simplify right side
    21,376.15x = 417,807,461.99
  5. Step 5: Solve for x
    x = 417,807,461.99/21,376.15
  6. Step 6: Final answer
    x = 19,545.50

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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.