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Finding the Fourth Proportional to 25,829.76, 35,645.76 and 14,653.44

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Solution

The fourth proportional to 25,829.76, 35,645.76 and 14,653.44 is: 20,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,829.76 : 35,645.76 = 14,653.44 : x
  2. Step 2: Convert to fraction form
    25,829.76/35,645.76 = 14,653.44/x
  3. Step 3: Cross multiply
    25,829.76x = 35,645.76 × 14,653.44
  4. Step 4: Simplify right side
    25,829.76x = 522,333,005.41
  5. Step 5: Solve for x
    x = 522,333,005.41/25,829.76
  6. Step 6: Final answer
    x = 20,222.14

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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.