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Finding the Fourth Proportional to 15,908.18, 21,938.18 and 9,533.84

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Solution

The fourth proportional to 15,908.18, 21,938.18 and 9,533.84 is: 13,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,908.18 : 21,938.18 = 9,533.84 : x
  2. Step 2: Convert to fraction form
    15,908.18/21,938.18 = 9,533.84/x
  3. Step 3: Cross multiply
    15,908.18x = 21,938.18 × 9,533.84
  4. Step 4: Simplify right side
    15,908.18x = 209,155,098.01
  5. Step 5: Solve for x
    x = 209,155,098.01/15,908.18
  6. Step 6: Final answer
    x = 13,147.64

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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.