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Finding the Fourth Proportional to 12,741.16, 17,583.90 and 7,437.68

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Solution

The fourth proportional to 12,741.16, 17,583.90 and 7,437.68 is: 10,264.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741.16 : 17,583.90 = 7,437.68 : x
  2. Step 2: Convert to fraction form
    12,741.16/17,583.90 = 7,437.68/x
  3. Step 3: Cross multiply
    12,741.16x = 17,583.90 × 7,437.68
  4. Step 4: Simplify right side
    12,741.16x = 130,783,421.35
  5. Step 5: Solve for x
    x = 130,783,421.35/12,741.16
  6. Step 6: Final answer
    x = 10,264.64

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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.