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Finding the Fourth Proportional to 12,783.90, 17,641.35 and 7,193.82

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Solution

The fourth proportional to 12,783.90, 17,641.35 and 7,193.82 is: 9,927.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.90 : 17,641.35 = 7,193.82 : x
  2. Step 2: Convert to fraction form
    12,783.90/17,641.35 = 7,193.82/x
  3. Step 3: Cross multiply
    12,783.90x = 17,641.35 × 7,193.82
  4. Step 4: Simplify right side
    12,783.90x = 126,908,696.46
  5. Step 5: Solve for x
    x = 126,908,696.46/12,783.90
  6. Step 6: Final answer
    x = 9,927.23

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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.