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Finding the Fourth Proportional to 12,684.51, 17,500.35 and 7,374.96

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Solution

The fourth proportional to 12,684.51, 17,500.35 and 7,374.96 is: 10,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.51 : 17,500.35 = 7,374.96 : x
  2. Step 2: Convert to fraction form
    12,684.51/17,500.35 = 7,374.96/x
  3. Step 3: Cross multiply
    12,684.51x = 17,500.35 × 7,374.96
  4. Step 4: Simplify right side
    12,684.51x = 129,064,381.24
  5. Step 5: Solve for x
    x = 129,064,381.24/12,684.51
  6. Step 6: Final answer
    x = 10,174.96

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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.