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Finding the Fourth Proportional to 12,838.53, 17,715.00 and 7,173.06

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Solution

The fourth proportional to 12,838.53, 17,715.00 and 7,173.06 is: 9,897.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.53 : 17,715.00 = 7,173.06 : x
  2. Step 2: Convert to fraction form
    12,838.53/17,715.00 = 7,173.06/x
  3. Step 3: Cross multiply
    12,838.53x = 17,715.00 × 7,173.06
  4. Step 4: Simplify right side
    12,838.53x = 127,070,784.80
  5. Step 5: Solve for x
    x = 127,070,784.80/12,838.53
  6. Step 6: Final answer
    x = 9,897.61

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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.