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Finding the Fourth Proportional to 12,595.84, 17,384.16 and 7,294.12

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Solution

The fourth proportional to 12,595.84, 17,384.16 and 7,294.12 is: 10,066.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,595.84 : 17,384.16 = 7,294.12 : x
  2. Step 2: Convert to fraction form
    12,595.84/17,384.16 = 7,294.12/x
  3. Step 3: Cross multiply
    12,595.84x = 17,384.16 × 7,294.12
  4. Step 4: Simplify right side
    12,595.84x = 126,802,149.14
  5. Step 5: Solve for x
    x = 126,802,149.14/12,595.84
  6. Step 6: Final answer
    x = 10,066.99

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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.