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Finding the Fourth Proportional to 22,706, 31,314.12 and 14,740.64

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Solution

The fourth proportional to 22,706, 31,314.12 and 14,740.64 is: 20,329.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706 : 31,314.12 = 14,740.64 : x
  2. Step 2: Convert to fraction form
    22,706/31,314.12 = 14,740.64/x
  3. Step 3: Cross multiply
    22,706x = 31,314.12 × 14,740.64
  4. Step 4: Simplify right side
    22,706x = 461,590,169.84
  5. Step 5: Solve for x
    x = 461,590,169.84/22,706
  6. Step 6: Final answer
    x = 20,329.00

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1.5x scale

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.