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Finding the Fourth Proportional to 25,485.49, 35,168.75 and 14,155.70

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Solution

The fourth proportional to 25,485.49, 35,168.75 and 14,155.70 is: 19,534.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,485.49 : 35,168.75 = 14,155.70 : x
  2. Step 2: Convert to fraction form
    25,485.49/35,168.75 = 14,155.70/x
  3. Step 3: Cross multiply
    25,485.49x = 35,168.75 × 14,155.70
  4. Step 4: Simplify right side
    25,485.49x = 497,838,274.38
  5. Step 5: Solve for x
    x = 497,838,274.38/25,485.49
  6. Step 6: Final answer
    x = 19,534.19

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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.