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Finding the Fourth Proportional to 25,476, 35,156.88 and 14,298

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Solution

The fourth proportional to 25,476, 35,156.88 and 14,298 is: 19,731.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,476 : 35,156.88 = 14,298 : x
  2. Step 2: Convert to fraction form
    25,476/35,156.88 = 14,298/x
  3. Step 3: Cross multiply
    25,476x = 35,156.88 × 14,298
  4. Step 4: Simplify right side
    25,476x = 502,673,070.24
  5. Step 5: Solve for x
    x = 502,673,070.24/25,476
  6. Step 6: Final answer
    x = 19,731.24

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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.