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Finding the Fourth Proportional to 22,803.66, 31,461.66 and 12,730.50

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Solution

The fourth proportional to 22,803.66, 31,461.66 and 12,730.50 is: 17,563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,803.66 : 31,461.66 = 12,730.50 : x
  2. Step 2: Convert to fraction form
    22,803.66/31,461.66 = 12,730.50/x
  3. Step 3: Cross multiply
    22,803.66x = 31,461.66 × 12,730.50
  4. Step 4: Simplify right side
    22,803.66x = 400,522,662.63
  5. Step 5: Solve for x
    x = 400,522,662.63/22,803.66
  6. Step 6: Final answer
    x = 17,563.96

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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.