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Finding the Fourth Proportional to 12,675.84, 17,465.28 and 9,127.68

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Solution

The fourth proportional to 12,675.84, 17,465.28 and 9,127.68 is: 12,576.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.84 : 17,465.28 = 9,127.68 : x
  2. Step 2: Convert to fraction form
    12,675.84/17,465.28 = 9,127.68/x
  3. Step 3: Cross multiply
    12,675.84x = 17,465.28 × 9,127.68
  4. Step 4: Simplify right side
    12,675.84x = 159,417,486.95
  5. Step 5: Solve for x
    x = 159,417,486.95/12,675.84
  6. Step 6: Final answer
    x = 12,576.48

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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.