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Finding the Fourth Proportional to 12,878.74, 19,320.63 and 4,114.18

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Solution

The fourth proportional to 12,878.74, 19,320.63 and 4,114.18 is: 6,172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.74 : 19,320.63 = 4,114.18 : x
  2. Step 2: Convert to fraction form
    12,878.74/19,320.63 = 4,114.18/x
  3. Step 3: Cross multiply
    12,878.74x = 19,320.63 × 4,114.18
  4. Step 4: Simplify right side
    12,878.74x = 79,488,549.53
  5. Step 5: Solve for x
    x = 79,488,549.53/12,878.74
  6. Step 6: Final answer
    x = 6,172.08

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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.