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Finding the Fourth Proportional to 21,700.50, 32,554 and 7,852.74

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Solution

The fourth proportional to 21,700.50, 32,554 and 7,852.74 is: 11,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,700.50 : 32,554 = 7,852.74 : x
  2. Step 2: Convert to fraction form
    21,700.50/32,554 = 7,852.74/x
  3. Step 3: Cross multiply
    21,700.50x = 32,554 × 7,852.74
  4. Step 4: Simplify right side
    21,700.50x = 255,638,097.96
  5. Step 5: Solve for x
    x = 255,638,097.96/21,700.50
  6. Step 6: Final answer
    x = 11,780.29

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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.