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Finding the Fourth Proportional to 19,781.10, 29,671.95 and 6,454.04

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Solution

The fourth proportional to 19,781.10, 29,671.95 and 6,454.04 is: 9,681.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.10 : 29,671.95 = 6,454.04 : x
  2. Step 2: Convert to fraction form
    19,781.10/29,671.95 = 6,454.04/x
  3. Step 3: Cross multiply
    19,781.10x = 29,671.95 × 6,454.04
  4. Step 4: Simplify right side
    19,781.10x = 191,503,803.82
  5. Step 5: Solve for x
    x = 191,503,803.82/19,781.10
  6. Step 6: Final answer
    x = 9,681.15

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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.