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Finding the Fourth Proportional to 15,675, 23,622.54 and 14,116.74

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Solution

The fourth proportional to 15,675, 23,622.54 and 14,116.74 is: 21,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,675 : 23,622.54 = 14,116.74 : x
  2. Step 2: Convert to fraction form
    15,675/23,622.54 = 14,116.74/x
  3. Step 3: Cross multiply
    15,675x = 23,622.54 × 14,116.74
  4. Step 4: Simplify right side
    15,675x = 333,473,255.32
  5. Step 5: Solve for x
    x = 333,473,255.32/15,675
  6. Step 6: Final answer
    x = 21,274.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.