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Finding the Fourth Proportional to 15,817.84, 21,822.28 and 9,529.36

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Solution

The fourth proportional to 15,817.84, 21,822.28 and 9,529.36 is: 13,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.84 : 21,822.28 = 9,529.36 : x
  2. Step 2: Convert to fraction form
    15,817.84/21,822.28 = 9,529.36/x
  3. Step 3: Cross multiply
    15,817.84x = 21,822.28 × 9,529.36
  4. Step 4: Simplify right side
    15,817.84x = 207,952,362.14
  5. Step 5: Solve for x
    x = 207,952,362.14/15,817.84
  6. Step 6: Final answer
    x = 13,146.70

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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.