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Finding the Fourth Proportional to 22,991.58, 31,752 and 19,798.56

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Solution

The fourth proportional to 22,991.58, 31,752 and 19,798.56 is: 27,342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,991.58 : 31,752 = 19,798.56 : x
  2. Step 2: Convert to fraction form
    22,991.58/31,752 = 19,798.56/x
  3. Step 3: Cross multiply
    22,991.58x = 31,752 × 19,798.56
  4. Step 4: Simplify right side
    22,991.58x = 628,643,877.12
  5. Step 5: Solve for x
    x = 628,643,877.12/22,991.58
  6. Step 6: Final answer
    x = 27,342.35

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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.