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Finding the Fourth Proportional to 25,658.88, 35,412.16 and 14,480

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Solution

The fourth proportional to 25,658.88, 35,412.16 and 14,480 is: 19,984.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,658.88 : 35,412.16 = 14,480 : x
  2. Step 2: Convert to fraction form
    25,658.88/35,412.16 = 14,480/x
  3. Step 3: Cross multiply
    25,658.88x = 35,412.16 × 14,480
  4. Step 4: Simplify right side
    25,658.88x = 512,768,076.80
  5. Step 5: Solve for x
    x = 512,768,076.80/25,658.88
  6. Step 6: Final answer
    x = 19,984.04

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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.