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Finding the Fourth Proportional to 15,816.63, 21,826.94 and 9,530.31

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Solution

The fourth proportional to 15,816.63, 21,826.94 and 9,530.31 is: 13,151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,816.63 : 21,826.94 = 9,530.31 : x
  2. Step 2: Convert to fraction form
    15,816.63/21,826.94 = 9,530.31/x
  3. Step 3: Cross multiply
    15,816.63x = 21,826.94 × 9,530.31
  4. Step 4: Simplify right side
    15,816.63x = 208,017,419.24
  5. Step 5: Solve for x
    x = 208,017,419.24/15,816.63
  6. Step 6: Final answer
    x = 13,151.82

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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.