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Finding the Fourth Proportional to 25,442, 35,109.41 and 14,111.40

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Solution

The fourth proportional to 25,442, 35,109.41 and 14,111.40 is: 19,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,442 : 35,109.41 = 14,111.40 : x
  2. Step 2: Convert to fraction form
    25,442/35,109.41 = 14,111.40/x
  3. Step 3: Cross multiply
    25,442x = 35,109.41 × 14,111.40
  4. Step 4: Simplify right side
    25,442x = 495,442,928.27
  5. Step 5: Solve for x
    x = 495,442,928.27/25,442
  6. Step 6: Final answer
    x = 19,473.43

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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.