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Finding the Fourth Proportional to 25,656, 38,484 and 9,240

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Solution

The fourth proportional to 25,656, 38,484 and 9,240 is: 13,860

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,656 : 38,484 = 9,240 : x
  2. Step 2: Convert to fraction form
    25,656/38,484 = 9,240/x
  3. Step 3: Cross multiply
    25,656x = 38,484 × 9,240
  4. Step 4: Simplify right side
    25,656x = 355,592,160
  5. Step 5: Solve for x
    x = 355,592,160/25,656
  6. Step 6: Final answer
    x = 13,860

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.