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Finding the Fourth Proportional to 12,991, 17,927.60 and 7,402

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Solution

The fourth proportional to 12,991, 17,927.60 and 7,402 is: 10,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991 : 17,927.60 = 7,402 : x
  2. Step 2: Convert to fraction form
    12,991/17,927.60 = 7,402/x
  3. Step 3: Cross multiply
    12,991x = 17,927.60 × 7,402
  4. Step 4: Simplify right side
    12,991x = 132,700,095.20
  5. Step 5: Solve for x
    x = 132,700,095.20/12,991
  6. Step 6: Final answer
    x = 10,214.77

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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.