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Finding the Fourth Proportional to 15,817.57, 21,828.24 and 9,531.16

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Solution

The fourth proportional to 15,817.57, 21,828.24 and 9,531.16 is: 13,153.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.57 : 21,828.24 = 9,531.16 : x
  2. Step 2: Convert to fraction form
    15,817.57/21,828.24 = 9,531.16/x
  3. Step 3: Cross multiply
    15,817.57x = 21,828.24 × 9,531.16
  4. Step 4: Simplify right side
    15,817.57x = 208,048,447.96
  5. Step 5: Solve for x
    x = 208,048,447.96/15,817.57
  6. Step 6: Final answer
    x = 13,153.00

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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.