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Finding the Fourth Proportional to 15,699.24, 21,655.94 and 9,801

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Solution

The fourth proportional to 15,699.24, 21,655.94 and 9,801 is: 13,519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,699.24 : 21,655.94 = 9,801 : x
  2. Step 2: Convert to fraction form
    15,699.24/21,655.94 = 9,801/x
  3. Step 3: Cross multiply
    15,699.24x = 21,655.94 × 9,801
  4. Step 4: Simplify right side
    15,699.24x = 212,249,867.94
  5. Step 5: Solve for x
    x = 212,249,867.94/15,699.24
  6. Step 6: Final answer
    x = 13,519.75

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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.