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Finding the Fourth Proportional to 15,897.84, 21,932.64 and 10,231.50

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Solution

The fourth proportional to 15,897.84, 21,932.64 and 10,231.50 is: 14,115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.84 : 21,932.64 = 10,231.50 : x
  2. Step 2: Convert to fraction form
    15,897.84/21,932.64 = 10,231.50/x
  3. Step 3: Cross multiply
    15,897.84x = 21,932.64 × 10,231.50
  4. Step 4: Simplify right side
    15,897.84x = 224,403,806.16
  5. Step 5: Solve for x
    x = 224,403,806.16/15,897.84
  6. Step 6: Final answer
    x = 14,115.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.