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Finding the Fourth Proportional to 23,496, 35,244 and 7,080

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Solution

The fourth proportional to 23,496, 35,244 and 7,080 is: 10,620

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,496 : 35,244 = 7,080 : x
  2. Step 2: Convert to fraction form
    23,496/35,244 = 7,080/x
  3. Step 3: Cross multiply
    23,496x = 35,244 × 7,080
  4. Step 4: Simplify right side
    23,496x = 249,527,520
  5. Step 5: Solve for x
    x = 249,527,520/23,496
  6. Step 6: Final answer
    x = 10,620

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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.