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Finding the Fourth Proportional to 22,984, 31,702.80 and 16,599.92

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Solution

The fourth proportional to 22,984, 31,702.80 and 16,599.92 is: 22,896.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,984 : 31,702.80 = 16,599.92 : x
  2. Step 2: Convert to fraction form
    22,984/31,702.80 = 16,599.92/x
  3. Step 3: Cross multiply
    22,984x = 31,702.80 × 16,599.92
  4. Step 4: Simplify right side
    22,984x = 526,263,943.78
  5. Step 5: Solve for x
    x = 526,263,943.78/22,984
  6. Step 6: Final answer
    x = 22,896.97

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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.