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Finding the Fourth Proportional to 25,205.40, 37,710.90 and 16,457.40

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Solution

The fourth proportional to 25,205.40, 37,710.90 and 16,457.40 is: 24,622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,205.40 : 37,710.90 = 16,457.40 : x
  2. Step 2: Convert to fraction form
    25,205.40/37,710.90 = 16,457.40/x
  3. Step 3: Cross multiply
    25,205.40x = 37,710.90 × 16,457.40
  4. Step 4: Simplify right side
    25,205.40x = 620,623,365.66
  5. Step 5: Solve for x
    x = 620,623,365.66/25,205.40
  6. Step 6: Final answer
    x = 24,622.64

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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.