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Finding the Fourth Proportional to 25,492, 35,179.04 and 14,317.60

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Solution

The fourth proportional to 25,492, 35,179.04 and 14,317.60 is: 19,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,492 : 35,179.04 = 14,317.60 : x
  2. Step 2: Convert to fraction form
    25,492/35,179.04 = 14,317.60/x
  3. Step 3: Cross multiply
    25,492x = 35,179.04 × 14,317.60
  4. Step 4: Simplify right side
    25,492x = 503,679,423.10
  5. Step 5: Solve for x
    x = 503,679,423.10/25,492
  6. Step 6: Final answer
    x = 19,758.33

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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.