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Finding the Fourth Proportional to 12,925.89, 17,834.72 and 9,382.95

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Solution

The fourth proportional to 12,925.89, 17,834.72 and 9,382.95 is: 12,946.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,925.89 : 17,834.72 = 9,382.95 : x
  2. Step 2: Convert to fraction form
    12,925.89/17,834.72 = 9,382.95/x
  3. Step 3: Cross multiply
    12,925.89x = 17,834.72 × 9,382.95
  4. Step 4: Simplify right side
    12,925.89x = 167,342,239.11
  5. Step 5: Solve for x
    x = 167,342,239.11/12,925.89
  6. Step 6: Final answer
    x = 12,946.28

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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.