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Finding the Fourth Proportional to 19,702.71, 27,189.75 and 10,750.23

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Solution

The fourth proportional to 19,702.71, 27,189.75 and 10,750.23 is: 14,835.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.71 : 27,189.75 = 10,750.23 : x
  2. Step 2: Convert to fraction form
    19,702.71/27,189.75 = 10,750.23/x
  3. Step 3: Cross multiply
    19,702.71x = 27,189.75 × 10,750.23
  4. Step 4: Simplify right side
    19,702.71x = 292,296,066.14
  5. Step 5: Solve for x
    x = 292,296,066.14/19,702.71
  6. Step 6: Final answer
    x = 14,835.32

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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.