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Finding the Fourth Proportional to 12,377.98, 17,088.25 and 9,559.94

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Solution

The fourth proportional to 12,377.98, 17,088.25 and 9,559.94 is: 13,197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.98 : 17,088.25 = 9,559.94 : x
  2. Step 2: Convert to fraction form
    12,377.98/17,088.25 = 9,559.94/x
  3. Step 3: Cross multiply
    12,377.98x = 17,088.25 × 9,559.94
  4. Step 4: Simplify right side
    12,377.98x = 163,362,511.46
  5. Step 5: Solve for x
    x = 163,362,511.46/12,377.98
  6. Step 6: Final answer
    x = 13,197.84

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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.