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Finding the Fourth Proportional to 15,698.36, 21,664.50 and 9,733.16

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Solution

The fourth proportional to 15,698.36, 21,664.50 and 9,733.16 is: 13,432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698.36 : 21,664.50 = 9,733.16 : x
  2. Step 2: Convert to fraction form
    15,698.36/21,664.50 = 9,733.16/x
  3. Step 3: Cross multiply
    15,698.36x = 21,664.50 × 9,733.16
  4. Step 4: Simplify right side
    15,698.36x = 210,864,044.82
  5. Step 5: Solve for x
    x = 210,864,044.82/15,698.36
  6. Step 6: Final answer
    x = 13,432.23

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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.