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Finding the Fourth Proportional to 12,462.34, 17,197.59 and 7,084.30

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Solution

The fourth proportional to 12,462.34, 17,197.59 and 7,084.30 is: 9,776.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.34 : 17,197.59 = 7,084.30 : x
  2. Step 2: Convert to fraction form
    12,462.34/17,197.59 = 7,084.30/x
  3. Step 3: Cross multiply
    12,462.34x = 17,197.59 × 7,084.30
  4. Step 4: Simplify right side
    12,462.34x = 121,832,886.84
  5. Step 5: Solve for x
    x = 121,832,886.84/12,462.34
  6. Step 6: Final answer
    x = 9,776.08

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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.