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Finding the Fourth Proportional to 13,582, 18,737.22 and 9,606.52

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Solution

The fourth proportional to 13,582, 18,737.22 and 9,606.52 is: 13,252.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,582 : 18,737.22 = 9,606.52 : x
  2. Step 2: Convert to fraction form
    13,582/18,737.22 = 9,606.52/x
  3. Step 3: Cross multiply
    13,582x = 18,737.22 × 9,606.52
  4. Step 4: Simplify right side
    13,582x = 179,999,478.67
  5. Step 5: Solve for x
    x = 179,999,478.67/13,582
  6. Step 6: Final answer
    x = 13,252.80

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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.