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Finding the Fourth Proportional to 19,802.25, 29,703.38 and 5,954.49

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Solution

The fourth proportional to 19,802.25, 29,703.38 and 5,954.49 is: 8,931.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.25 : 29,703.38 = 5,954.49 : x
  2. Step 2: Convert to fraction form
    19,802.25/29,703.38 = 5,954.49/x
  3. Step 3: Cross multiply
    19,802.25x = 29,703.38 × 5,954.49
  4. Step 4: Simplify right side
    19,802.25x = 176,868,449.40
  5. Step 5: Solve for x
    x = 176,868,449.40/19,802.25
  6. Step 6: Final answer
    x = 8,931.74

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