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Finding the Fourth Proportional to 12,994, 17,931.72 and 7,106

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Solution

The fourth proportional to 12,994, 17,931.72 and 7,106 is: 9,806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994 : 17,931.72 = 7,106 : x
  2. Step 2: Convert to fraction form
    12,994/17,931.72 = 7,106/x
  3. Step 3: Cross multiply
    12,994x = 17,931.72 × 7,106
  4. Step 4: Simplify right side
    12,994x = 127,422,802.32
  5. Step 5: Solve for x
    x = 127,422,802.32/12,994
  6. Step 6: Final answer
    x = 9,806.28

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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.