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Finding the Fourth Proportional to 12,503.90, 17,254.82 and 7,127.50

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Solution

The fourth proportional to 12,503.90, 17,254.82 and 7,127.50 is: 9,835.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.90 : 17,254.82 = 7,127.50 : x
  2. Step 2: Convert to fraction form
    12,503.90/17,254.82 = 7,127.50/x
  3. Step 3: Cross multiply
    12,503.90x = 17,254.82 × 7,127.50
  4. Step 4: Simplify right side
    12,503.90x = 122,983,729.55
  5. Step 5: Solve for x
    x = 122,983,729.55/12,503.90
  6. Step 6: Final answer
    x = 9,835.63

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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.