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Finding the Fourth Proportional to 12,748.17, 17,598.87 and 7,970.77

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Solution

The fourth proportional to 12,748.17, 17,598.87 and 7,970.77 is: 11,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,748.17 : 17,598.87 = 7,970.77 : x
  2. Step 2: Convert to fraction form
    12,748.17/17,598.87 = 7,970.77/x
  3. Step 3: Cross multiply
    12,748.17x = 17,598.87 × 7,970.77
  4. Step 4: Simplify right side
    12,748.17x = 140,276,501.03
  5. Step 5: Solve for x
    x = 140,276,501.03/12,748.17
  6. Step 6: Final answer
    x = 11,003.66

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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.