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Finding the Fourth Proportional to 25,488, 35,175.24 and 14,310

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Solution

The fourth proportional to 25,488, 35,175.24 and 14,310 is: 19,748.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,488 : 35,175.24 = 14,310 : x
  2. Step 2: Convert to fraction form
    25,488/35,175.24 = 14,310/x
  3. Step 3: Cross multiply
    25,488x = 35,175.24 × 14,310
  4. Step 4: Simplify right side
    25,488x = 503,357,684.40
  5. Step 5: Solve for x
    x = 503,357,684.40/25,488
  6. Step 6: Final answer
    x = 19,748.81

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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.