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Finding the Fourth Proportional to 12,262.04, 16,922 and 7,549.04

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Solution

The fourth proportional to 12,262.04, 16,922 and 7,549.04 is: 10,417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.04 : 16,922 = 7,549.04 : x
  2. Step 2: Convert to fraction form
    12,262.04/16,922 = 7,549.04/x
  3. Step 3: Cross multiply
    12,262.04x = 16,922 × 7,549.04
  4. Step 4: Simplify right side
    12,262.04x = 127,744,854.88
  5. Step 5: Solve for x
    x = 127,744,854.88/12,262.04
  6. Step 6: Final answer
    x = 10,417.91

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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.