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Finding the Fourth Proportional to 22,703.76, 31,322.64 and 16,749.76

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Solution

The fourth proportional to 22,703.76, 31,322.64 and 16,749.76 is: 23,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,703.76 : 31,322.64 = 16,749.76 : x
  2. Step 2: Convert to fraction form
    22,703.76/31,322.64 = 16,749.76/x
  3. Step 3: Cross multiply
    22,703.76x = 31,322.64 × 16,749.76
  4. Step 4: Simplify right side
    22,703.76x = 524,646,702.57
  5. Step 5: Solve for x
    x = 524,646,702.57/22,703.76
  6. Step 6: Final answer
    x = 23,108.36

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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.