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Finding the Fourth Proportional to 12,994, 17,931.12 and 7,329.76

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Solution

The fourth proportional to 12,994, 17,931.12 and 7,329.76 is: 10,114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994 : 17,931.12 = 7,329.76 : x
  2. Step 2: Convert to fraction form
    12,994/17,931.12 = 7,329.76/x
  3. Step 3: Cross multiply
    12,994x = 17,931.12 × 7,329.76
  4. Step 4: Simplify right side
    12,994x = 131,430,806.13
  5. Step 5: Solve for x
    x = 131,430,806.13/12,994
  6. Step 6: Final answer
    x = 10,114.73

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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.