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Finding the Fourth Proportional to 21,307.68, 31,975.74 and 7,456.68

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Solution

The fourth proportional to 21,307.68, 31,975.74 and 7,456.68 is: 11,190.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,307.68 : 31,975.74 = 7,456.68 : x
  2. Step 2: Convert to fraction form
    21,307.68/31,975.74 = 7,456.68/x
  3. Step 3: Cross multiply
    21,307.68x = 31,975.74 × 7,456.68
  4. Step 4: Simplify right side
    21,307.68x = 238,432,860.94
  5. Step 5: Solve for x
    x = 238,432,860.94/21,307.68
  6. Step 6: Final answer
    x = 11,190.00

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Why These Related Problems?

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