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Finding the Fourth Proportional to 22,702.71, 31,332.51 and 13,749.99

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Solution

The fourth proportional to 22,702.71, 31,332.51 and 13,749.99 is: 18,976.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702.71 : 31,332.51 = 13,749.99 : x
  2. Step 2: Convert to fraction form
    22,702.71/31,332.51 = 13,749.99/x
  3. Step 3: Cross multiply
    22,702.71x = 31,332.51 × 13,749.99
  4. Step 4: Simplify right side
    22,702.71x = 430,821,699.17
  5. Step 5: Solve for x
    x = 430,821,699.17/22,702.71
  6. Step 6: Final answer
    x = 18,976.66

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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.