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Finding the Fourth Proportional to 12,897.12, 17,797.68 and 7,592.28

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Solution

The fourth proportional to 12,897.12, 17,797.68 and 7,592.28 is: 10,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.12 : 17,797.68 = 7,592.28 : x
  2. Step 2: Convert to fraction form
    12,897.12/17,797.68 = 7,592.28/x
  3. Step 3: Cross multiply
    12,897.12x = 17,797.68 × 7,592.28
  4. Step 4: Simplify right side
    12,897.12x = 135,124,969.91
  5. Step 5: Solve for x
    x = 135,124,969.91/12,897.12
  6. Step 6: Final answer
    x = 10,477.14

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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.