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Finding the Fourth Proportional to 12,476.84, 17,222.34 and 7,765.16

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Solution

The fourth proportional to 12,476.84, 17,222.34 and 7,765.16 is: 10,718.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,476.84 : 17,222.34 = 7,765.16 : x
  2. Step 2: Convert to fraction form
    12,476.84/17,222.34 = 7,765.16/x
  3. Step 3: Cross multiply
    12,476.84x = 17,222.34 × 7,765.16
  4. Step 4: Simplify right side
    12,476.84x = 133,734,225.67
  5. Step 5: Solve for x
    x = 133,734,225.67/12,476.84
  6. Step 6: Final answer
    x = 10,718.60

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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.