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Finding the Fourth Proportional to 12,705.68, 17,534.40 and 7,116.80

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Solution

The fourth proportional to 12,705.68, 17,534.40 and 7,116.80 is: 9,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.68 : 17,534.40 = 7,116.80 : x
  2. Step 2: Convert to fraction form
    12,705.68/17,534.40 = 7,116.80/x
  3. Step 3: Cross multiply
    12,705.68x = 17,534.40 × 7,116.80
  4. Step 4: Simplify right side
    12,705.68x = 124,788,817.92
  5. Step 5: Solve for x
    x = 124,788,817.92/12,705.68
  6. Step 6: Final answer
    x = 9,821.50

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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.