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Finding the Fourth Proportional to 12,770.18, 17,623.64 and 7,106.19

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Solution

The fourth proportional to 12,770.18, 17,623.64 and 7,106.19 is: 9,806.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.18 : 17,623.64 = 7,106.19 : x
  2. Step 2: Convert to fraction form
    12,770.18/17,623.64 = 7,106.19/x
  3. Step 3: Cross multiply
    12,770.18x = 17,623.64 × 7,106.19
  4. Step 4: Simplify right side
    12,770.18x = 125,236,925.45
  5. Step 5: Solve for x
    x = 125,236,925.45/12,770.18
  6. Step 6: Final answer
    x = 9,806.98

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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.