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Finding the Fourth Proportional to 16,461.88, 24,695.58 and 5,365.40

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Solution

The fourth proportional to 16,461.88, 24,695.58 and 5,365.40 is: 8,049.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.88 : 24,695.58 = 5,365.40 : x
  2. Step 2: Convert to fraction form
    16,461.88/24,695.58 = 5,365.40/x
  3. Step 3: Cross multiply
    16,461.88x = 24,695.58 × 5,365.40
  4. Step 4: Simplify right side
    16,461.88x = 132,501,664.93
  5. Step 5: Solve for x
    x = 132,501,664.93/16,461.88
  6. Step 6: Final answer
    x = 8,049.00

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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.