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Finding the Fourth Proportional to 21,048.56, 31,575.26 and 9,798.07

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Solution

The fourth proportional to 21,048.56, 31,575.26 and 9,798.07 is: 14,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,048.56 : 31,575.26 = 9,798.07 : x
  2. Step 2: Convert to fraction form
    21,048.56/31,575.26 = 9,798.07/x
  3. Step 3: Cross multiply
    21,048.56x = 31,575.26 × 9,798.07
  4. Step 4: Simplify right side
    21,048.56x = 309,376,400.88
  5. Step 5: Solve for x
    x = 309,376,400.88/21,048.56
  6. Step 6: Final answer
    x = 14,698.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.