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Finding the Fourth Proportional to 15,807.96, 21,814.92 and 9,435.69

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Solution

The fourth proportional to 15,807.96, 21,814.92 and 9,435.69 is: 13,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.96 : 21,814.92 = 9,435.69 : x
  2. Step 2: Convert to fraction form
    15,807.96/21,814.92 = 9,435.69/x
  3. Step 3: Cross multiply
    15,807.96x = 21,814.92 × 9,435.69
  4. Step 4: Simplify right side
    15,807.96x = 205,838,822.49
  5. Step 5: Solve for x
    x = 205,838,822.49/15,807.96
  6. Step 6: Final answer
    x = 13,021.21

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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.