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Finding the Fourth Proportional to 12,973.62, 17,901 and 7,669.30

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Solution

The fourth proportional to 12,973.62, 17,901 and 7,669.30 is: 10,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,973.62 : 17,901 = 7,669.30 : x
  2. Step 2: Convert to fraction form
    12,973.62/17,901 = 7,669.30/x
  3. Step 3: Cross multiply
    12,973.62x = 17,901 × 7,669.30
  4. Step 4: Simplify right side
    12,973.62x = 137,288,139.30
  5. Step 5: Solve for x
    x = 137,288,139.30/12,973.62
  6. Step 6: Final answer
    x = 10,582.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.