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Finding the Fourth Proportional to 15,897.60, 23,822.10 and 15,022.80

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Solution

The fourth proportional to 15,897.60, 23,822.10 and 15,022.80 is: 22,511.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.60 : 23,822.10 = 15,022.80 : x
  2. Step 2: Convert to fraction form
    15,897.60/23,822.10 = 15,022.80/x
  3. Step 3: Cross multiply
    15,897.60x = 23,822.10 × 15,022.80
  4. Step 4: Simplify right side
    15,897.60x = 357,874,643.88
  5. Step 5: Solve for x
    x = 357,874,643.88/15,897.60
  6. Step 6: Final answer
    x = 22,511.24

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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.