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Finding the Fourth Proportional to 22,773.71, 31,427.76 and 12,702.80

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Solution

The fourth proportional to 22,773.71, 31,427.76 and 12,702.80 is: 17,529.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,773.71 : 31,427.76 = 12,702.80 : x
  2. Step 2: Convert to fraction form
    22,773.71/31,427.76 = 12,702.80/x
  3. Step 3: Cross multiply
    22,773.71x = 31,427.76 × 12,702.80
  4. Step 4: Simplify right side
    22,773.71x = 399,220,460.61
  5. Step 5: Solve for x
    x = 399,220,460.61/22,773.71
  6. Step 6: Final answer
    x = 17,529.89

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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.