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Finding the Fourth Proportional to 25,588, 35,314.03 and 14,259.34

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Solution

The fourth proportional to 25,588, 35,314.03 and 14,259.34 is: 19,679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,588 : 35,314.03 = 14,259.34 : x
  2. Step 2: Convert to fraction form
    25,588/35,314.03 = 14,259.34/x
  3. Step 3: Cross multiply
    25,588x = 35,314.03 × 14,259.34
  4. Step 4: Simplify right side
    25,588x = 503,554,760.54
  5. Step 5: Solve for x
    x = 503,554,760.54/25,588
  6. Step 6: Final answer
    x = 19,679.33

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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.