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Finding the Fourth Proportional to 12,454.43, 17,185.72 and 7,417.95

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Solution

The fourth proportional to 12,454.43, 17,185.72 and 7,417.95 is: 10,235.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.43 : 17,185.72 = 7,417.95 : x
  2. Step 2: Convert to fraction form
    12,454.43/17,185.72 = 7,417.95/x
  3. Step 3: Cross multiply
    12,454.43x = 17,185.72 × 7,417.95
  4. Step 4: Simplify right side
    12,454.43x = 127,482,811.67
  5. Step 5: Solve for x
    x = 127,482,811.67/12,454.43
  6. Step 6: Final answer
    x = 10,235.94

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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.