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Finding the Fourth Proportional to 12,586.08, 17,377.68 and 9,050.40

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Solution

The fourth proportional to 12,586.08, 17,377.68 and 9,050.40 is: 12,495.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.08 : 17,377.68 = 9,050.40 : x
  2. Step 2: Convert to fraction form
    12,586.08/17,377.68 = 9,050.40/x
  3. Step 3: Cross multiply
    12,586.08x = 17,377.68 × 9,050.40
  4. Step 4: Simplify right side
    12,586.08x = 157,274,955.07
  5. Step 5: Solve for x
    x = 157,274,955.07/12,586.08
  6. Step 6: Final answer
    x = 12,495.94

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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.