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Finding the Fourth Proportional to 15,897.14, 21,936.54 and 9,523.62

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Solution

The fourth proportional to 15,897.14, 21,936.54 and 9,523.62 is: 13,141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.14 : 21,936.54 = 9,523.62 : x
  2. Step 2: Convert to fraction form
    15,897.14/21,936.54 = 9,523.62/x
  3. Step 3: Cross multiply
    15,897.14x = 21,936.54 × 9,523.62
  4. Step 4: Simplify right side
    15,897.14x = 208,915,271.07
  5. Step 5: Solve for x
    x = 208,915,271.07/15,897.14
  6. Step 6: Final answer
    x = 13,141.69

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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.