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Finding the Fourth Proportional to 25,745.76, 35,528.76 and 14,416.02

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Solution

The fourth proportional to 25,745.76, 35,528.76 and 14,416.02 is: 19,893.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,745.76 : 35,528.76 = 14,416.02 : x
  2. Step 2: Convert to fraction form
    25,745.76/35,528.76 = 14,416.02/x
  3. Step 3: Cross multiply
    25,745.76x = 35,528.76 × 14,416.02
  4. Step 4: Simplify right side
    25,745.76x = 512,183,314.74
  5. Step 5: Solve for x
    x = 512,183,314.74/25,745.76
  6. Step 6: Final answer
    x = 19,893.89

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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.