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Finding the Fourth Proportional to 12,720.90, 17,557.02 and 7,415.67

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Solution

The fourth proportional to 12,720.90, 17,557.02 and 7,415.67 is: 10,234.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,720.90 : 17,557.02 = 7,415.67 : x
  2. Step 2: Convert to fraction form
    12,720.90/17,557.02 = 7,415.67/x
  3. Step 3: Cross multiply
    12,720.90x = 17,557.02 × 7,415.67
  4. Step 4: Simplify right side
    12,720.90x = 130,197,066.50
  5. Step 5: Solve for x
    x = 130,197,066.50/12,720.90
  6. Step 6: Final answer
    x = 10,234.89

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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.