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Finding the Fourth Proportional to 19,319.25, 28,982.52 and 8,931

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Solution

The fourth proportional to 19,319.25, 28,982.52 and 8,931 is: 13,398.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,319.25 : 28,982.52 = 8,931 : x
  2. Step 2: Convert to fraction form
    19,319.25/28,982.52 = 8,931/x
  3. Step 3: Cross multiply
    19,319.25x = 28,982.52 × 8,931
  4. Step 4: Simplify right side
    19,319.25x = 258,842,886.12
  5. Step 5: Solve for x
    x = 258,842,886.12/19,319.25
  6. Step 6: Final answer
    x = 13,398.19

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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.