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Finding the Fourth Proportional to 23,776, 35,664 and 7,360

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Solution

The fourth proportional to 23,776, 35,664 and 7,360 is: 11,040

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776 : 35,664 = 7,360 : x
  2. Step 2: Convert to fraction form
    23,776/35,664 = 7,360/x
  3. Step 3: Cross multiply
    23,776x = 35,664 × 7,360
  4. Step 4: Simplify right side
    23,776x = 262,487,040
  5. Step 5: Solve for x
    x = 262,487,040/23,776
  6. Step 6: Final answer
    x = 11,040

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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.