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Finding the Fourth Proportional to 15,722.64, 21,695.31 and 9,349.38

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Solution

The fourth proportional to 15,722.64, 21,695.31 and 9,349.38 is: 12,900.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722.64 : 21,695.31 = 9,349.38 : x
  2. Step 2: Convert to fraction form
    15,722.64/21,695.31 = 9,349.38/x
  3. Step 3: Cross multiply
    15,722.64x = 21,695.31 × 9,349.38
  4. Step 4: Simplify right side
    15,722.64x = 202,837,697.41
  5. Step 5: Solve for x
    x = 202,837,697.41/15,722.64
  6. Step 6: Final answer
    x = 12,900.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.