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Finding the Fourth Proportional to 21,315.47, 31,971.08 and 6,524.52

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Solution

The fourth proportional to 21,315.47, 31,971.08 and 6,524.52 is: 9,786.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,315.47 : 31,971.08 = 6,524.52 : x
  2. Step 2: Convert to fraction form
    21,315.47/31,971.08 = 6,524.52/x
  3. Step 3: Cross multiply
    21,315.47x = 31,971.08 × 6,524.52
  4. Step 4: Simplify right side
    21,315.47x = 208,595,828.95
  5. Step 5: Solve for x
    x = 208,595,828.95/21,315.47
  6. Step 6: Final answer
    x = 9,786.12

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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.