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Finding the Fourth Proportional to 12,705.53, 17,534.30 and 7,040.93

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Solution

The fourth proportional to 12,705.53, 17,534.30 and 7,040.93 is: 9,716.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.53 : 17,534.30 = 7,040.93 : x
  2. Step 2: Convert to fraction form
    12,705.53/17,534.30 = 7,040.93/x
  3. Step 3: Cross multiply
    12,705.53x = 17,534.30 × 7,040.93
  4. Step 4: Simplify right side
    12,705.53x = 123,457,656.02
  5. Step 5: Solve for x
    x = 123,457,656.02/12,705.53
  6. Step 6: Final answer
    x = 9,716.85

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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.