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Finding the Fourth Proportional to 25,479, 35,164.35 and 14,301

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Solution

The fourth proportional to 25,479, 35,164.35 and 14,301 is: 19,737.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,479 : 35,164.35 = 14,301 : x
  2. Step 2: Convert to fraction form
    25,479/35,164.35 = 14,301/x
  3. Step 3: Cross multiply
    25,479x = 35,164.35 × 14,301
  4. Step 4: Simplify right side
    25,479x = 502,885,369.35
  5. Step 5: Solve for x
    x = 502,885,369.35/25,479
  6. Step 6: Final answer
    x = 19,737.25

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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.