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Finding the Fourth Proportional to 15,897.70, 23,716.09 and 15,897.70

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Solution

The fourth proportional to 15,897.70, 23,716.09 and 15,897.70 is: 23,716.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.70 : 23,716.09 = 15,897.70 : x
  2. Step 2: Convert to fraction form
    15,897.70/23,716.09 = 15,897.70/x
  3. Step 3: Cross multiply
    15,897.70x = 23,716.09 × 15,897.70
  4. Step 4: Simplify right side
    15,897.70x = 377,031,283.99
  5. Step 5: Solve for x
    x = 377,031,283.99/15,897.70
  6. Step 6: Final answer
    x = 23,716.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.