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Finding the Fourth Proportional to 12,780.81, 17,637.50 and 7,474.53

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Solution

The fourth proportional to 12,780.81, 17,637.50 and 7,474.53 is: 10,314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.81 : 17,637.50 = 7,474.53 : x
  2. Step 2: Convert to fraction form
    12,780.81/17,637.50 = 7,474.53/x
  3. Step 3: Cross multiply
    12,780.81x = 17,637.50 × 7,474.53
  4. Step 4: Simplify right side
    12,780.81x = 131,831,985.50
  5. Step 5: Solve for x
    x = 131,831,985.50/12,780.81
  6. Step 6: Final answer
    x = 10,314.84

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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.