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Finding the Fourth Proportional to 25,628.96, 35,370 and 14,302.16

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Solution

The fourth proportional to 25,628.96, 35,370 and 14,302.16 is: 19,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,628.96 : 35,370 = 14,302.16 : x
  2. Step 2: Convert to fraction form
    25,628.96/35,370 = 14,302.16/x
  3. Step 3: Cross multiply
    25,628.96x = 35,370 × 14,302.16
  4. Step 4: Simplify right side
    25,628.96x = 505,867,399.20
  5. Step 5: Solve for x
    x = 505,867,399.20/25,628.96
  6. Step 6: Final answer
    x = 19,738.12

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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.