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Finding the Fourth Proportional to 21,307.75, 31,955.50 and 6,513.19

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Solution

The fourth proportional to 21,307.75, 31,955.50 and 6,513.19 is: 9,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,307.75 : 31,955.50 = 6,513.19 : x
  2. Step 2: Convert to fraction form
    21,307.75/31,955.50 = 6,513.19/x
  3. Step 3: Cross multiply
    21,307.75x = 31,955.50 × 6,513.19
  4. Step 4: Simplify right side
    21,307.75x = 208,132,243.05
  5. Step 5: Solve for x
    x = 208,132,243.05/21,307.75
  6. Step 6: Final answer
    x = 9,767.91

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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.