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Finding the Fourth Proportional to 25,220.40, 34,804 and 14,609.84

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Solution

The fourth proportional to 25,220.40, 34,804 and 14,609.84 is: 20,161.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,220.40 : 34,804 = 14,609.84 : x
  2. Step 2: Convert to fraction form
    25,220.40/34,804 = 14,609.84/x
  3. Step 3: Cross multiply
    25,220.40x = 34,804 × 14,609.84
  4. Step 4: Simplify right side
    25,220.40x = 508,480,871.36
  5. Step 5: Solve for x
    x = 508,480,871.36/25,220.40
  6. Step 6: Final answer
    x = 20,161.49

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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.