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Finding the Fourth Proportional to 19,706.32, 27,197.80 and 19,058.32

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Solution

The fourth proportional to 19,706.32, 27,197.80 and 19,058.32 is: 26,303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.32 : 27,197.80 = 19,058.32 : x
  2. Step 2: Convert to fraction form
    19,706.32/27,197.80 = 19,058.32/x
  3. Step 3: Cross multiply
    19,706.32x = 27,197.80 × 19,058.32
  4. Step 4: Simplify right side
    19,706.32x = 518,344,375.70
  5. Step 5: Solve for x
    x = 518,344,375.70/19,706.32
  6. Step 6: Final answer
    x = 26,303.46

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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.