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Finding the Fourth Proportional to 19,802.51, 29,629.92 and 19,581.06

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Solution

The fourth proportional to 19,802.51, 29,629.92 and 19,581.06 is: 29,298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.51 : 29,629.92 = 19,581.06 : x
  2. Step 2: Convert to fraction form
    19,802.51/29,629.92 = 19,581.06/x
  3. Step 3: Cross multiply
    19,802.51x = 29,629.92 × 19,581.06
  4. Step 4: Simplify right side
    19,802.51x = 580,185,241.32
  5. Step 5: Solve for x
    x = 580,185,241.32/19,802.51
  6. Step 6: Final answer
    x = 29,298.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.