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Finding the Fourth Proportional to 22,972.60, 31,702.76 and 12,901.76

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Solution

The fourth proportional to 22,972.60, 31,702.76 and 12,901.76 is: 17,804.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,972.60 : 31,702.76 = 12,901.76 : x
  2. Step 2: Convert to fraction form
    22,972.60/31,702.76 = 12,901.76/x
  3. Step 3: Cross multiply
    22,972.60x = 31,702.76 × 12,901.76
  4. Step 4: Simplify right side
    22,972.60x = 409,021,400.86
  5. Step 5: Solve for x
    x = 409,021,400.86/22,972.60
  6. Step 6: Final answer
    x = 17,804.75

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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.