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Finding the Fourth Proportional to 16,461.95, 24,696 and 6,602.00

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Solution

The fourth proportional to 16,461.95, 24,696 and 6,602.00 is: 9,904.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.95 : 24,696 = 6,602.00 : x
  2. Step 2: Convert to fraction form
    16,461.95/24,696 = 6,602.00/x
  3. Step 3: Cross multiply
    16,461.95x = 24,696 × 6,602.00
  4. Step 4: Simplify right side
    16,461.95x = 163,042,868.52
  5. Step 5: Solve for x
    x = 163,042,868.52/16,461.95
  6. Step 6: Final answer
    x = 9,904.23

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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.