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Finding the Fourth Proportional to 19,946, 29,858.52 and 13,319.12

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Solution

The fourth proportional to 19,946, 29,858.52 and 13,319.12 is: 19,938.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,946 : 29,858.52 = 13,319.12 : x
  2. Step 2: Convert to fraction form
    19,946/29,858.52 = 13,319.12/x
  3. Step 3: Cross multiply
    19,946x = 29,858.52 × 13,319.12
  4. Step 4: Simplify right side
    19,946x = 397,689,210.90
  5. Step 5: Solve for x
    x = 397,689,210.90/19,946
  6. Step 6: Final answer
    x = 19,938.29

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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.