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Finding the Fourth Proportional to 22,706.32, 31,332 and 12,632.20

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Solution

The fourth proportional to 22,706.32, 31,332 and 12,632.20 is: 17,430.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706.32 : 31,332 = 12,632.20 : x
  2. Step 2: Convert to fraction form
    22,706.32/31,332 = 12,632.20/x
  3. Step 3: Cross multiply
    22,706.32x = 31,332 × 12,632.20
  4. Step 4: Simplify right side
    22,706.32x = 395,792,090.40
  5. Step 5: Solve for x
    x = 395,792,090.40/22,706.32
  6. Step 6: Final answer
    x = 17,430.92

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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.