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Finding the Fourth Proportional to 15,816.57, 21,826.86 and 9,530.16

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Solution

The fourth proportional to 15,816.57, 21,826.86 and 9,530.16 is: 13,151.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,816.57 : 21,826.86 = 9,530.16 : x
  2. Step 2: Convert to fraction form
    15,816.57/21,826.86 = 9,530.16/x
  3. Step 3: Cross multiply
    15,816.57x = 21,826.86 × 9,530.16
  4. Step 4: Simplify right side
    15,816.57x = 208,013,468.10
  5. Step 5: Solve for x
    x = 208,013,468.10/15,816.57
  6. Step 6: Final answer
    x = 13,151.62

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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.