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Finding the Fourth Proportional to 15,765.44, 23,648.16 and 14,977.10

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Solution

The fourth proportional to 15,765.44, 23,648.16 and 14,977.10 is: 22,465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.44 : 23,648.16 = 14,977.10 : x
  2. Step 2: Convert to fraction form
    15,765.44/23,648.16 = 14,977.10/x
  3. Step 3: Cross multiply
    15,765.44x = 23,648.16 × 14,977.10
  4. Step 4: Simplify right side
    15,765.44x = 354,180,857.14
  5. Step 5: Solve for x
    x = 354,180,857.14/15,765.44
  6. Step 6: Final answer
    x = 22,465.65

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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.