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Finding the Fourth Proportional to 21,665.06, 32,497.60 and 7,814.06

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Solution

The fourth proportional to 21,665.06, 32,497.60 and 7,814.06 is: 11,721.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.06 : 32,497.60 = 7,814.06 : x
  2. Step 2: Convert to fraction form
    21,665.06/32,497.60 = 7,814.06/x
  3. Step 3: Cross multiply
    21,665.06x = 32,497.60 × 7,814.06
  4. Step 4: Simplify right side
    21,665.06x = 253,938,196.26
  5. Step 5: Solve for x
    x = 253,938,196.26/21,665.06
  6. Step 6: Final answer
    x = 11,721.09

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1.5x scale

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.